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Finding the Fourth Proportional to 224,228.16, 309,432.96 and 123,624

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Solution

The fourth proportional to 224,228.16, 309,432.96 and 123,624 is: 170,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,228.16 : 309,432.96 = 123,624 : x
  2. Step 2: Convert to fraction form
    224,228.16/309,432.96 = 123,624/x
  3. Step 3: Cross multiply
    224,228.16x = 309,432.96 × 123,624
  4. Step 4: Simplify right side
    224,228.16x = 38,253,340,247.04
  5. Step 5: Solve for x
    x = 38,253,340,247.04/224,228.16
  6. Step 6: Final answer
    x = 170,600.07

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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.