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Finding the Fourth Proportional to 261,725.81, 392,588.84 and 84,232.80

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Solution

The fourth proportional to 261,725.81, 392,588.84 and 84,232.80 is: 126,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,725.81 : 392,588.84 = 84,232.80 : x
  2. Step 2: Convert to fraction form
    261,725.81/392,588.84 = 84,232.80/x
  3. Step 3: Cross multiply
    261,725.81x = 392,588.84 × 84,232.80
  4. Step 4: Simplify right side
    261,725.81x = 33,068,857,452.53
  5. Step 5: Solve for x
    x = 33,068,857,452.53/261,725.81
  6. Step 6: Final answer
    x = 126,349.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.