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Finding the Fourth Proportional to 114,475.72, 171,713.58 and 52,215.88

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Solution

The fourth proportional to 114,475.72, 171,713.58 and 52,215.88 is: 78,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,475.72 : 171,713.58 = 52,215.88 : x
  2. Step 2: Convert to fraction form
    114,475.72/171,713.58 = 52,215.88/x
  3. Step 3: Cross multiply
    114,475.72x = 171,713.58 × 52,215.88
  4. Step 4: Simplify right side
    114,475.72x = 8,966,175,687.65
  5. Step 5: Solve for x
    x = 8,966,175,687.65/114,475.72
  6. Step 6: Final answer
    x = 78,323.82

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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.