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Finding the Fourth Proportional to 141,898.77, 195,816.56 and 78,234.93

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Solution

The fourth proportional to 141,898.77, 195,816.56 and 78,234.93 is: 107,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,898.77 : 195,816.56 = 78,234.93 : x
  2. Step 2: Convert to fraction form
    141,898.77/195,816.56 = 78,234.93/x
  3. Step 3: Cross multiply
    141,898.77x = 195,816.56 × 78,234.93
  4. Step 4: Simplify right side
    141,898.77x = 15,319,694,473.27
  5. Step 5: Solve for x
    x = 15,319,694,473.27/141,898.77
  6. Step 6: Final answer
    x = 107,962.14

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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.