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Finding the Fourth Proportional to 282,428.52, 423,701.10 and 82,755.42

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Solution

The fourth proportional to 282,428.52, 423,701.10 and 82,755.42 is: 124,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,428.52 : 423,701.10 = 82,755.42 : x
  2. Step 2: Convert to fraction form
    282,428.52/423,701.10 = 82,755.42/x
  3. Step 3: Cross multiply
    282,428.52x = 423,701.10 × 82,755.42
  4. Step 4: Simplify right side
    282,428.52x = 35,063,562,484.96
  5. Step 5: Solve for x
    x = 35,063,562,484.96/282,428.52
  6. Step 6: Final answer
    x = 124,150.22

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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.