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Finding the Fourth Proportional to 103,030.38, 142,190.60 and 57,707.54

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Solution

The fourth proportional to 103,030.38, 142,190.60 and 57,707.54 is: 79,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,030.38 : 142,190.60 = 57,707.54 : x
  2. Step 2: Convert to fraction form
    103,030.38/142,190.60 = 57,707.54/x
  3. Step 3: Cross multiply
    103,030.38x = 142,190.60 × 57,707.54
  4. Step 4: Simplify right side
    103,030.38x = 8,205,469,737.12
  5. Step 5: Solve for x
    x = 8,205,469,737.12/103,030.38
  6. Step 6: Final answer
    x = 79,641.26

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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.