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Finding the Fourth Proportional to 105,078.17, 145,007.85 and 57,331.71

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Solution

The fourth proportional to 105,078.17, 145,007.85 and 57,331.71 is: 79,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,078.17 : 145,007.85 = 57,331.71 : x
  2. Step 2: Convert to fraction form
    105,078.17/145,007.85 = 57,331.71/x
  3. Step 3: Cross multiply
    105,078.17x = 145,007.85 × 57,331.71
  4. Step 4: Simplify right side
    105,078.17x = 8,313,548,218.92
  5. Step 5: Solve for x
    x = 8,313,548,218.92/105,078.17
  6. Step 6: Final answer
    x = 79,117.75

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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.