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Finding the Fourth Proportional to 157,803.53, 217,770.26 and 89,824.88

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Solution

The fourth proportional to 157,803.53, 217,770.26 and 89,824.88 is: 123,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,803.53 : 217,770.26 = 89,824.88 : x
  2. Step 2: Convert to fraction form
    157,803.53/217,770.26 = 89,824.88/x
  3. Step 3: Cross multiply
    157,803.53x = 217,770.26 × 89,824.88
  4. Step 4: Simplify right side
    157,803.53x = 19,561,186,270.94
  5. Step 5: Solve for x
    x = 19,561,186,270.94/157,803.53
  6. Step 6: Final answer
    x = 123,959.12

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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.