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Finding the Fourth Proportional to 251,901.60, 377,844.30 and 83,429.70

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Solution

The fourth proportional to 251,901.60, 377,844.30 and 83,429.70 is: 125,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,901.60 : 377,844.30 = 83,429.70 : x
  2. Step 2: Convert to fraction form
    251,901.60/377,844.30 = 83,429.70/x
  3. Step 3: Cross multiply
    251,901.60x = 377,844.30 × 83,429.70
  4. Step 4: Simplify right side
    251,901.60x = 31,523,436,595.71
  5. Step 5: Solve for x
    x = 31,523,436,595.71/251,901.60
  6. Step 6: Final answer
    x = 125,141.87

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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.