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Finding the Fourth Proportional to 282,344.38, 389,641.53 and 155,020.48

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Solution

The fourth proportional to 282,344.38, 389,641.53 and 155,020.48 is: 213,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,344.38 : 389,641.53 = 155,020.48 : x
  2. Step 2: Convert to fraction form
    282,344.38/389,641.53 = 155,020.48/x
  3. Step 3: Cross multiply
    282,344.38x = 389,641.53 × 155,020.48
  4. Step 4: Simplify right side
    282,344.38x = 60,402,417,008.53
  5. Step 5: Solve for x
    x = 60,402,417,008.53/282,344.38
  6. Step 6: Final answer
    x = 213,931.71

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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.