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Finding the Fourth Proportional to 105,092.38, 145,027.86 and 57,346.78

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Solution

The fourth proportional to 105,092.38, 145,027.86 and 57,346.78 is: 79,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.38 : 145,027.86 = 57,346.78 : x
  2. Step 2: Convert to fraction form
    105,092.38/145,027.86 = 57,346.78/x
  3. Step 3: Cross multiply
    105,092.38x = 145,027.86 × 57,346.78
  4. Step 4: Simplify right side
    105,092.38x = 8,316,880,781.29
  5. Step 5: Solve for x
    x = 8,316,880,781.29/105,092.38
  6. Step 6: Final answer
    x = 79,138.76

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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.