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Finding the Fourth Proportional to 106,814.60, 160,221.90 and 102,732.20

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Solution

The fourth proportional to 106,814.60, 160,221.90 and 102,732.20 is: 154,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.60 : 160,221.90 = 102,732.20 : x
  2. Step 2: Convert to fraction form
    106,814.60/160,221.90 = 102,732.20/x
  3. Step 3: Cross multiply
    106,814.60x = 160,221.90 × 102,732.20
  4. Step 4: Simplify right side
    106,814.60x = 16,459,948,275.18
  5. Step 5: Solve for x
    x = 16,459,948,275.18/106,814.60
  6. Step 6: Final answer
    x = 154,098.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.