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Finding the Fourth Proportional to 105,864.72, 146,094.60 and 60,542

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Solution

The fourth proportional to 105,864.72, 146,094.60 and 60,542 is: 83,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864.72 : 146,094.60 = 60,542 : x
  2. Step 2: Convert to fraction form
    105,864.72/146,094.60 = 60,542/x
  3. Step 3: Cross multiply
    105,864.72x = 146,094.60 × 60,542
  4. Step 4: Simplify right side
    105,864.72x = 8,844,859,273.20
  5. Step 5: Solve for x
    x = 8,844,859,273.20/105,864.72
  6. Step 6: Final answer
    x = 83,548.70

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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.