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Finding the Fourth Proportional to 282,789.90, 424,162.80 and 164,385.72

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Solution

The fourth proportional to 282,789.90, 424,162.80 and 164,385.72 is: 246,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,789.90 : 424,162.80 = 164,385.72 : x
  2. Step 2: Convert to fraction form
    282,789.90/424,162.80 = 164,385.72/x
  3. Step 3: Cross multiply
    282,789.90x = 424,162.80 × 164,385.72
  4. Step 4: Simplify right side
    282,789.90x = 69,726,307,275.22
  5. Step 5: Solve for x
    x = 69,726,307,275.22/282,789.90
  6. Step 6: Final answer
    x = 246,565.76

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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.