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Finding the Fourth Proportional to 150,257.79, 207,355.80 and 82,279.07

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Solution

The fourth proportional to 150,257.79, 207,355.80 and 82,279.07 is: 113,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,257.79 : 207,355.80 = 82,279.07 : x
  2. Step 2: Convert to fraction form
    150,257.79/207,355.80 = 82,279.07/x
  3. Step 3: Cross multiply
    150,257.79x = 207,355.80 × 82,279.07
  4. Step 4: Simplify right side
    150,257.79x = 17,061,041,971.71
  5. Step 5: Solve for x
    x = 17,061,041,971.71/150,257.79
  6. Step 6: Final answer
    x = 113,545.14

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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.