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Finding the Fourth Proportional to 78,149.77, 107,846.53 and 42,340.75

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Solution

The fourth proportional to 78,149.77, 107,846.53 and 42,340.75 is: 58,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.77 : 107,846.53 = 42,340.75 : x
  2. Step 2: Convert to fraction form
    78,149.77/107,846.53 = 42,340.75/x
  3. Step 3: Cross multiply
    78,149.77x = 107,846.53 × 42,340.75
  4. Step 4: Simplify right side
    78,149.77x = 4,566,302,965.10
  5. Step 5: Solve for x
    x = 4,566,302,965.10/78,149.77
  6. Step 6: Final answer
    x = 58,430.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.