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Finding the Fourth Proportional to 282,565.69, 389,943.38 and 155,244.02

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Solution

The fourth proportional to 282,565.69, 389,943.38 and 155,244.02 is: 214,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,565.69 : 389,943.38 = 155,244.02 : x
  2. Step 2: Convert to fraction form
    282,565.69/389,943.38 = 155,244.02/x
  3. Step 3: Cross multiply
    282,565.69x = 389,943.38 × 155,244.02
  4. Step 4: Simplify right side
    282,565.69x = 60,536,376,321.98
  5. Step 5: Solve for x
    x = 60,536,376,321.98/282,565.69
  6. Step 6: Final answer
    x = 214,238.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.