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Finding the Fourth Proportional to 224,414.16, 309,710.04 and 127,648.32

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Solution

The fourth proportional to 224,414.16, 309,710.04 and 127,648.32 is: 176,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,414.16 : 309,710.04 = 127,648.32 : x
  2. Step 2: Convert to fraction form
    224,414.16/309,710.04 = 127,648.32/x
  3. Step 3: Cross multiply
    224,414.16x = 309,710.04 × 127,648.32
  4. Step 4: Simplify right side
    224,414.16x = 39,533,966,293.13
  5. Step 5: Solve for x
    x = 39,533,966,293.13/224,414.16
  6. Step 6: Final answer
    x = 176,165.20

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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.