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Finding the Fourth Proportional to 141,873.66, 195,784.33 and 77,342.90

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Solution

The fourth proportional to 141,873.66, 195,784.33 and 77,342.90 is: 106,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,873.66 : 195,784.33 = 77,342.90 : x
  2. Step 2: Convert to fraction form
    141,873.66/195,784.33 = 77,342.90/x
  3. Step 3: Cross multiply
    141,873.66x = 195,784.33 × 77,342.90
  4. Step 4: Simplify right side
    141,873.66x = 15,142,527,856.76
  5. Step 5: Solve for x
    x = 15,142,527,856.76/141,873.66
  6. Step 6: Final answer
    x = 106,732.48

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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.