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Finding the Fourth Proportional to 100,199, 138,274.66 and 55,487

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Solution

The fourth proportional to 100,199, 138,274.66 and 55,487 is: 76,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,199 : 138,274.66 = 55,487 : x
  2. Step 2: Convert to fraction form
    100,199/138,274.66 = 55,487/x
  3. Step 3: Cross multiply
    100,199x = 138,274.66 × 55,487
  4. Step 4: Simplify right side
    100,199x = 7,672,446,059.42
  5. Step 5: Solve for x
    x = 7,672,446,059.42/100,199
  6. Step 6: Final answer
    x = 76,572.08

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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.