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Finding the Fourth Proportional to 157,761.72, 235,923.86 and 117,808.76

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Solution

The fourth proportional to 157,761.72, 235,923.86 and 117,808.76 is: 176,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,761.72 : 235,923.86 = 117,808.76 : x
  2. Step 2: Convert to fraction form
    157,761.72/235,923.86 = 117,808.76/x
  3. Step 3: Cross multiply
    157,761.72x = 235,923.86 × 117,808.76
  4. Step 4: Simplify right side
    157,761.72x = 27,793,897,401.01
  5. Step 5: Solve for x
    x = 27,793,897,401.01/157,761.72
  6. Step 6: Final answer
    x = 176,176.43

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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.