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Finding the Fourth Proportional to 162,809.72, 224,787.13 and 101,649.12

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Solution

The fourth proportional to 162,809.72, 224,787.13 and 101,649.12 is: 140,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,809.72 : 224,787.13 = 101,649.12 : x
  2. Step 2: Convert to fraction form
    162,809.72/224,787.13 = 101,649.12/x
  3. Step 3: Cross multiply
    162,809.72x = 224,787.13 × 101,649.12
  4. Step 4: Simplify right side
    162,809.72x = 22,849,413,951.83
  5. Step 5: Solve for x
    x = 22,849,413,951.83/162,809.72
  6. Step 6: Final answer
    x = 140,344.29

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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.