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Finding the Fourth Proportional to 157,974.96, 218,020.34 and 86,365.56

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Solution

The fourth proportional to 157,974.96, 218,020.34 and 86,365.56 is: 119,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,974.96 : 218,020.34 = 86,365.56 : x
  2. Step 2: Convert to fraction form
    157,974.96/218,020.34 = 86,365.56/x
  3. Step 3: Cross multiply
    157,974.96x = 218,020.34 × 86,365.56
  4. Step 4: Simplify right side
    157,974.96x = 18,829,448,755.49
  5. Step 5: Solve for x
    x = 18,829,448,755.49/157,974.96
  6. Step 6: Final answer
    x = 119,192.62

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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.