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Finding the Fourth Proportional to 261,382.11, 392,124.21 and 83,875.47

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Solution

The fourth proportional to 261,382.11, 392,124.21 and 83,875.47 is: 125,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,382.11 : 392,124.21 = 83,875.47 : x
  2. Step 2: Convert to fraction form
    261,382.11/392,124.21 = 83,875.47/x
  3. Step 3: Cross multiply
    261,382.11x = 392,124.21 × 83,875.47
  4. Step 4: Simplify right side
    261,382.11x = 32,889,602,412.13
  5. Step 5: Solve for x
    x = 32,889,602,412.13/261,382.11
  6. Step 6: Final answer
    x = 125,829.58

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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.