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Finding the Fourth Proportional to 103,082.38, 142,340.38 and 77,544.48

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Solution

The fourth proportional to 103,082.38, 142,340.38 and 77,544.48 is: 107,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,082.38 : 142,340.38 = 77,544.48 : x
  2. Step 2: Convert to fraction form
    103,082.38/142,340.38 = 77,544.48/x
  3. Step 3: Cross multiply
    103,082.38x = 142,340.38 × 77,544.48
  4. Step 4: Simplify right side
    103,082.38x = 11,037,710,750.10
  5. Step 5: Solve for x
    x = 11,037,710,750.10/103,082.38
  6. Step 6: Final answer
    x = 107,076.60

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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.