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Finding the Fourth Proportional to 107,082.30, 147,773.42 and 59,338.74

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Solution

The fourth proportional to 107,082.30, 147,773.42 and 59,338.74 is: 81,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082.30 : 147,773.42 = 59,338.74 : x
  2. Step 2: Convert to fraction form
    107,082.30/147,773.42 = 59,338.74/x
  3. Step 3: Cross multiply
    107,082.30x = 147,773.42 × 59,338.74
  4. Step 4: Simplify right side
    107,082.30x = 8,768,688,548.29
  5. Step 5: Solve for x
    x = 8,768,688,548.29/107,082.30
  6. Step 6: Final answer
    x = 81,887.38

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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.