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Finding the Fourth Proportional to 102,767.38, 141,800.82 and 57,430.87

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Solution

The fourth proportional to 102,767.38, 141,800.82 and 57,430.87 is: 79,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,767.38 : 141,800.82 = 57,430.87 : x
  2. Step 2: Convert to fraction form
    102,767.38/141,800.82 = 57,430.87/x
  3. Step 3: Cross multiply
    102,767.38x = 141,800.82 × 57,430.87
  4. Step 4: Simplify right side
    102,767.38x = 8,143,743,750.31
  5. Step 5: Solve for x
    x = 8,143,743,750.31/102,767.38
  6. Step 6: Final answer
    x = 79,244.45

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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.