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Finding the Fourth Proportional to 150,519, 207,545.96 and 95,998.24

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Solution

The fourth proportional to 150,519, 207,545.96 and 95,998.24 is: 132,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,519 : 207,545.96 = 95,998.24 : x
  2. Step 2: Convert to fraction form
    150,519/207,545.96 = 95,998.24/x
  3. Step 3: Cross multiply
    150,519x = 207,545.96 × 95,998.24
  4. Step 4: Simplify right side
    150,519x = 19,924,046,879.11
  5. Step 5: Solve for x
    x = 19,924,046,879.11/150,519
  6. Step 6: Final answer
    x = 132,368.98

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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.