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Finding the Fourth Proportional to 282,502.62, 389,855.43 and 155,177.10

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Solution

The fourth proportional to 282,502.62, 389,855.43 and 155,177.10 is: 214,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,502.62 : 389,855.43 = 155,177.10 : x
  2. Step 2: Convert to fraction form
    282,502.62/389,855.43 = 155,177.10/x
  3. Step 3: Cross multiply
    282,502.62x = 389,855.43 × 155,177.10
  4. Step 4: Simplify right side
    282,502.62x = 60,496,635,046.65
  5. Step 5: Solve for x
    x = 60,496,635,046.65/282,502.62
  6. Step 6: Final answer
    x = 214,145.39

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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.