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Finding the Fourth Proportional to 178,082.11, 245,766.25 and 101,602.89

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Solution

The fourth proportional to 178,082.11, 245,766.25 and 101,602.89 is: 140,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,082.11 : 245,766.25 = 101,602.89 : x
  2. Step 2: Convert to fraction form
    178,082.11/245,766.25 = 101,602.89/x
  3. Step 3: Cross multiply
    178,082.11x = 245,766.25 × 101,602.89
  4. Step 4: Simplify right side
    178,082.11x = 24,970,561,264.46
  5. Step 5: Solve for x
    x = 24,970,561,264.46/178,082.11
  6. Step 6: Final answer
    x = 140,219.37

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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.