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Finding the Fourth Proportional to 180,614.14, 270,934.18 and 62,283.76

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Solution

The fourth proportional to 180,614.14, 270,934.18 and 62,283.76 is: 93,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,614.14 : 270,934.18 = 62,283.76 : x
  2. Step 2: Convert to fraction form
    180,614.14/270,934.18 = 62,283.76/x
  3. Step 3: Cross multiply
    180,614.14x = 270,934.18 × 62,283.76
  4. Step 4: Simplify right side
    180,614.14x = 16,874,799,442.92
  5. Step 5: Solve for x
    x = 16,874,799,442.92/180,614.14
  6. Step 6: Final answer
    x = 93,430.11

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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.