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Finding the Fourth Proportional to 182,257.38, 251,351.47 and 114,281.77

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Solution

The fourth proportional to 182,257.38, 251,351.47 and 114,281.77 is: 157,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,257.38 : 251,351.47 = 114,281.77 : x
  2. Step 2: Convert to fraction form
    182,257.38/251,351.47 = 114,281.77/x
  3. Step 3: Cross multiply
    182,257.38x = 251,351.47 × 114,281.77
  4. Step 4: Simplify right side
    182,257.38x = 28,724,890,883.70
  5. Step 5: Solve for x
    x = 28,724,890,883.70/182,257.38
  6. Step 6: Final answer
    x = 157,606.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.