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Finding the Fourth Proportional to 162,341.52, 224,173.80 and 102,016.68

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Solution

The fourth proportional to 162,341.52, 224,173.80 and 102,016.68 is: 140,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,341.52 : 224,173.80 = 102,016.68 : x
  2. Step 2: Convert to fraction form
    162,341.52/224,173.80 = 102,016.68/x
  3. Step 3: Cross multiply
    162,341.52x = 224,173.80 × 102,016.68
  4. Step 4: Simplify right side
    162,341.52x = 22,869,466,818.98
  5. Step 5: Solve for x
    x = 22,869,466,818.98/162,341.52
  6. Step 6: Final answer
    x = 140,872.57

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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.