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Finding the Fourth Proportional to 141,384, 195,011.82 and 96,036.60

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Solution

The fourth proportional to 141,384, 195,011.82 and 96,036.60 is: 132,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,384 : 195,011.82 = 96,036.60 : x
  2. Step 2: Convert to fraction form
    141,384/195,011.82 = 96,036.60/x
  3. Step 3: Cross multiply
    141,384x = 195,011.82 × 96,036.60
  4. Step 4: Simplify right side
    141,384x = 18,728,272,152.61
  5. Step 5: Solve for x
    x = 18,728,272,152.61/141,384
  6. Step 6: Final answer
    x = 132,463.87

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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.