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Finding the Fourth Proportional to 295,180.70, 442,723.53 and 84,770.78

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Solution

The fourth proportional to 295,180.70, 442,723.53 and 84,770.78 is: 127,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,180.70 : 442,723.53 = 84,770.78 : x
  2. Step 2: Convert to fraction form
    295,180.70/442,723.53 = 84,770.78/x
  3. Step 3: Cross multiply
    295,180.70x = 442,723.53 × 84,770.78
  4. Step 4: Simplify right side
    295,180.70x = 37,530,018,962.45
  5. Step 5: Solve for x
    x = 37,530,018,962.45/295,180.70
  6. Step 6: Final answer
    x = 127,142.52

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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.