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Finding the Fourth Proportional to 137,082.66, 205,602.72 and 52,882.28

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Solution

The fourth proportional to 137,082.66, 205,602.72 and 52,882.28 is: 79,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,082.66 : 205,602.72 = 52,882.28 : x
  2. Step 2: Convert to fraction form
    137,082.66/205,602.72 = 52,882.28/x
  3. Step 3: Cross multiply
    137,082.66x = 205,602.72 × 52,882.28
  4. Step 4: Simplify right side
    137,082.66x = 10,872,740,607.80
  5. Step 5: Solve for x
    x = 10,872,740,607.80/137,082.66
  6. Step 6: Final answer
    x = 79,315.21

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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.