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Finding the Fourth Proportional to 224,463.08, 309,812.24 and 129,025.24

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Solution

The fourth proportional to 224,463.08, 309,812.24 and 129,025.24 is: 178,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,463.08 : 309,812.24 = 129,025.24 : x
  2. Step 2: Convert to fraction form
    224,463.08/309,812.24 = 129,025.24/x
  3. Step 3: Cross multiply
    224,463.08x = 309,812.24 × 129,025.24
  4. Step 4: Simplify right side
    224,463.08x = 39,973,598,168.97
  5. Step 5: Solve for x
    x = 39,973,598,168.97/224,463.08
  6. Step 6: Final answer
    x = 178,085.40

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1.5x scale

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.