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Finding the Fourth Proportional to 375,474.24, 563,204.88 and 126,156.24

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Solution

The fourth proportional to 375,474.24, 563,204.88 and 126,156.24 is: 189,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,474.24 : 563,204.88 = 126,156.24 : x
  2. Step 2: Convert to fraction form
    375,474.24/563,204.88 = 126,156.24/x
  3. Step 3: Cross multiply
    375,474.24x = 563,204.88 × 126,156.24
  4. Step 4: Simplify right side
    375,474.24x = 71,051,810,010.45
  5. Step 5: Solve for x
    x = 71,051,810,010.45/375,474.24
  6. Step 6: Final answer
    x = 189,232.18

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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.