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Finding the Fourth Proportional to 114,397.66, 171,494.43 and 58,206.34

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Solution

The fourth proportional to 114,397.66, 171,494.43 and 58,206.34 is: 87,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,397.66 : 171,494.43 = 58,206.34 : x
  2. Step 2: Convert to fraction form
    114,397.66/171,494.43 = 58,206.34/x
  3. Step 3: Cross multiply
    114,397.66x = 171,494.43 × 58,206.34
  4. Step 4: Simplify right side
    114,397.66x = 9,982,062,809.65
  5. Step 5: Solve for x
    x = 9,982,062,809.65/114,397.66
  6. Step 6: Final answer
    x = 87,257.58

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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.