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Finding the Fourth Proportional to 100,166,598.59, 138,359,572.41 and 82,832,961.47

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Solution

The fourth proportional to 100,166,598.59, 138,359,572.41 and 82,832,961.47 is: 114,416,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,166,598.59 : 138,359,572.41 = 82,832,961.47 : x
  2. Step 2: Convert to fraction form
    100,166,598.59/138,359,572.41 = 82,832,961.47/x
  3. Step 3: Cross multiply
    100,166,598.59x = 138,359,572.41 × 82,832,961.47
  4. Step 4: Simplify right side
    100,166,598.59x = 11,460,733,129,751,408
  5. Step 5: Solve for x
    x = 11,460,733,129,751,408/100,166,598.59
  6. Step 6: Final answer
    x = 114,416,714.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.