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Finding the Fourth Proportional to 255,118.33, 382,545.14 and 75,180.48

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Solution

The fourth proportional to 255,118.33, 382,545.14 and 75,180.48 is: 112,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,118.33 : 382,545.14 = 75,180.48 : x
  2. Step 2: Convert to fraction form
    255,118.33/382,545.14 = 75,180.48/x
  3. Step 3: Cross multiply
    255,118.33x = 382,545.14 × 75,180.48
  4. Step 4: Simplify right side
    255,118.33x = 28,759,927,246.87
  5. Step 5: Solve for x
    x = 28,759,927,246.87/255,118.33
  6. Step 6: Final answer
    x = 112,731.72

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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.