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Finding the Fourth Proportional to 272,923.88, 409,448.13 and 83,411.21

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Solution

The fourth proportional to 272,923.88, 409,448.13 and 83,411.21 is: 125,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,923.88 : 409,448.13 = 83,411.21 : x
  2. Step 2: Convert to fraction form
    272,923.88/409,448.13 = 83,411.21/x
  3. Step 3: Cross multiply
    272,923.88x = 409,448.13 × 83,411.21
  4. Step 4: Simplify right side
    272,923.88x = 34,152,564,979.16
  5. Step 5: Solve for x
    x = 34,152,564,979.16/272,923.88
  6. Step 6: Final answer
    x = 125,135.86

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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.