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Finding the Fourth Proportional to 253,624.80, 380,424.15 and 85,146.42

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Solution

The fourth proportional to 253,624.80, 380,424.15 and 85,146.42 is: 127,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,624.80 : 380,424.15 = 85,146.42 : x
  2. Step 2: Convert to fraction form
    253,624.80/380,424.15 = 85,146.42/x
  3. Step 3: Cross multiply
    253,624.80x = 380,424.15 × 85,146.42
  4. Step 4: Simplify right side
    253,624.80x = 32,391,754,454.04
  5. Step 5: Solve for x
    x = 32,391,754,454.04/253,624.80
  6. Step 6: Final answer
    x = 127,715.25

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