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Finding the Fourth Proportional to 282,300.90, 423,516.27 and 82,616.58

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Solution

The fourth proportional to 282,300.90, 423,516.27 and 82,616.58 is: 123,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,300.90 : 423,516.27 = 82,616.58 : x
  2. Step 2: Convert to fraction form
    282,300.90/423,516.27 = 82,616.58/x
  3. Step 3: Cross multiply
    282,300.90x = 423,516.27 × 82,616.58
  4. Step 4: Simplify right side
    282,300.90x = 34,989,465,801.76
  5. Step 5: Solve for x
    x = 34,989,465,801.76/282,300.90
  6. Step 6: Final answer
    x = 123,943.87

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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.