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Finding the Fourth Proportional to 158,697.86, 237,769.98 and 132,213.97

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Solution

The fourth proportional to 158,697.86, 237,769.98 and 132,213.97 is: 198,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,697.86 : 237,769.98 = 132,213.97 : x
  2. Step 2: Convert to fraction form
    158,697.86/237,769.98 = 132,213.97/x
  3. Step 3: Cross multiply
    158,697.86x = 237,769.98 × 132,213.97
  4. Step 4: Simplify right side
    158,697.86x = 31,436,513,547.73
  5. Step 5: Solve for x
    x = 31,436,513,547.73/158,697.86
  6. Step 6: Final answer
    x = 198,090.35

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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.