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Finding the Fourth Proportional to 282,052.74, 423,073.65 and 68,822.04

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Solution

The fourth proportional to 282,052.74, 423,073.65 and 68,822.04 is: 103,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,052.74 : 423,073.65 = 68,822.04 : x
  2. Step 2: Convert to fraction form
    282,052.74/423,073.65 = 68,822.04/x
  3. Step 3: Cross multiply
    282,052.74x = 423,073.65 × 68,822.04
  4. Step 4: Simplify right side
    282,052.74x = 29,116,791,663.25
  5. Step 5: Solve for x
    x = 29,116,791,663.25/282,052.74
  6. Step 6: Final answer
    x = 103,231.73

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Why These Related Problems?

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