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Finding the Fourth Proportional to 100,433, 138,598.08 and 55,115.30

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Solution

The fourth proportional to 100,433, 138,598.08 and 55,115.30 is: 76,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,433 : 138,598.08 = 55,115.30 : x
  2. Step 2: Convert to fraction form
    100,433/138,598.08 = 55,115.30/x
  3. Step 3: Cross multiply
    100,433x = 138,598.08 × 55,115.30
  4. Step 4: Simplify right side
    100,433x = 7,638,874,758.62
  5. Step 5: Solve for x
    x = 7,638,874,758.62/100,433
  6. Step 6: Final answer
    x = 76,059.41

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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.