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Finding the Fourth Proportional to 187,822.80, 281,215.80 and 146,350.80

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Solution

The fourth proportional to 187,822.80, 281,215.80 and 146,350.80 is: 219,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,822.80 : 281,215.80 = 146,350.80 : x
  2. Step 2: Convert to fraction form
    187,822.80/281,215.80 = 146,350.80/x
  3. Step 3: Cross multiply
    187,822.80x = 281,215.80 × 146,350.80
  4. Step 4: Simplify right side
    187,822.80x = 41,156,157,302.64
  5. Step 5: Solve for x
    x = 41,156,157,302.64/187,822.80
  6. Step 6: Final answer
    x = 219,122.26

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1.5x scale

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.