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Finding the Fourth Proportional to 251,141.40, 376,712.10 and 144,853.20

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Solution

The fourth proportional to 251,141.40, 376,712.10 and 144,853.20 is: 217,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,141.40 : 376,712.10 = 144,853.20 : x
  2. Step 2: Convert to fraction form
    251,141.40/376,712.10 = 144,853.20/x
  3. Step 3: Cross multiply
    251,141.40x = 376,712.10 × 144,853.20
  4. Step 4: Simplify right side
    251,141.40x = 54,567,953,163.72
  5. Step 5: Solve for x
    x = 54,567,953,163.72/251,141.40
  6. Step 6: Final answer
    x = 217,279.80

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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.