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Finding the Fourth Proportional to 295,182.70, 442,726.53 and 84,772.78

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Solution

The fourth proportional to 295,182.70, 442,726.53 and 84,772.78 is: 127,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,182.70 : 442,726.53 = 84,772.78 : x
  2. Step 2: Convert to fraction form
    295,182.70/442,726.53 = 84,772.78/x
  3. Step 3: Cross multiply
    295,182.70x = 442,726.53 × 84,772.78
  4. Step 4: Simplify right side
    295,182.70x = 37,531,158,727.85
  5. Step 5: Solve for x
    x = 37,531,158,727.85/295,182.70
  6. Step 6: Final answer
    x = 127,145.52

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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.