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Finding the Fourth Proportional to 162,854.29, 224,738.16 and 91,234.90

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Solution

The fourth proportional to 162,854.29, 224,738.16 and 91,234.90 is: 125,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,854.29 : 224,738.16 = 91,234.90 : x
  2. Step 2: Convert to fraction form
    162,854.29/224,738.16 = 91,234.90/x
  3. Step 3: Cross multiply
    162,854.29x = 224,738.16 × 91,234.90
  4. Step 4: Simplify right side
    162,854.29x = 20,503,963,553.78
  5. Step 5: Solve for x
    x = 20,503,963,553.78/162,854.29
  6. Step 6: Final answer
    x = 125,903.74

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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.