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Finding the Fourth Proportional to 282,417.71, 423,626.55 and 82,738.09

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Solution

The fourth proportional to 282,417.71, 423,626.55 and 82,738.09 is: 124,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,417.71 : 423,626.55 = 82,738.09 : x
  2. Step 2: Convert to fraction form
    282,417.71/423,626.55 = 82,738.09/x
  3. Step 3: Cross multiply
    282,417.71x = 423,626.55 × 82,738.09
  4. Step 4: Simplify right side
    282,417.71x = 35,050,052,304.96
  5. Step 5: Solve for x
    x = 35,050,052,304.96/282,417.71
  6. Step 6: Final answer
    x = 124,107.14

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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.