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Finding the Fourth Proportional to 182,030.76, 273,046.14 and 71,145

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Solution

The fourth proportional to 182,030.76, 273,046.14 and 71,145 is: 106,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,030.76 : 273,046.14 = 71,145 : x
  2. Step 2: Convert to fraction form
    182,030.76/273,046.14 = 71,145/x
  3. Step 3: Cross multiply
    182,030.76x = 273,046.14 × 71,145
  4. Step 4: Simplify right side
    182,030.76x = 19,425,867,630.30
  5. Step 5: Solve for x
    x = 19,425,867,630.30/182,030.76
  6. Step 6: Final answer
    x = 106,717.50

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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.