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Finding the Fourth Proportional to 134,154, 185,132.52 and 74,538

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Solution

The fourth proportional to 134,154, 185,132.52 and 74,538 is: 102,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,154 : 185,132.52 = 74,538 : x
  2. Step 2: Convert to fraction form
    134,154/185,132.52 = 74,538/x
  3. Step 3: Cross multiply
    134,154x = 185,132.52 × 74,538
  4. Step 4: Simplify right side
    134,154x = 13,799,407,775.76
  5. Step 5: Solve for x
    x = 13,799,407,775.76/134,154
  6. Step 6: Final answer
    x = 102,862.44

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Why These Related Problems?

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