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Finding the Fourth Proportional to 282,432.47, 389,755.52 and 153,369.90

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Solution

The fourth proportional to 282,432.47, 389,755.52 and 153,369.90 is: 211,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,432.47 : 389,755.52 = 153,369.90 : x
  2. Step 2: Convert to fraction form
    282,432.47/389,755.52 = 153,369.90/x
  3. Step 3: Cross multiply
    282,432.47x = 389,755.52 × 153,369.90
  4. Step 4: Simplify right side
    282,432.47x = 59,776,764,360.00
  5. Step 5: Solve for x
    x = 59,776,764,360.00/282,432.47
  6. Step 6: Final answer
    x = 211,649.76

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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.