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Finding the Fourth Proportional to 134,538.98, 201,806.31 and 45,854.24

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Solution

The fourth proportional to 134,538.98, 201,806.31 and 45,854.24 is: 68,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,538.98 : 201,806.31 = 45,854.24 : x
  2. Step 2: Convert to fraction form
    134,538.98/201,806.31 = 45,854.24/x
  3. Step 3: Cross multiply
    134,538.98x = 201,806.31 × 45,854.24
  4. Step 4: Simplify right side
    134,538.98x = 9,253,674,972.25
  5. Step 5: Solve for x
    x = 9,253,674,972.25/134,538.98
  6. Step 6: Final answer
    x = 68,780.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.