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Finding the Fourth Proportional to 157,234.32, 216,949.56 and 93,559.68

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Solution

The fourth proportional to 157,234.32, 216,949.56 and 93,559.68 is: 129,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,234.32 : 216,949.56 = 93,559.68 : x
  2. Step 2: Convert to fraction form
    157,234.32/216,949.56 = 93,559.68/x
  3. Step 3: Cross multiply
    157,234.32x = 216,949.56 × 93,559.68
  4. Step 4: Simplify right side
    157,234.32x = 20,297,731,409.74
  5. Step 5: Solve for x
    x = 20,297,731,409.74/157,234.32
  6. Step 6: Final answer
    x = 129,092.25

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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.