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Finding the Fourth Proportional to 244,714.40, 367,071.60 and 78,519.20

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Solution

The fourth proportional to 244,714.40, 367,071.60 and 78,519.20 is: 117,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,714.40 : 367,071.60 = 78,519.20 : x
  2. Step 2: Convert to fraction form
    244,714.40/367,071.60 = 78,519.20/x
  3. Step 3: Cross multiply
    244,714.40x = 367,071.60 × 78,519.20
  4. Step 4: Simplify right side
    244,714.40x = 28,822,168,374.72
  5. Step 5: Solve for x
    x = 28,822,168,374.72/244,714.40
  6. Step 6: Final answer
    x = 117,778.80

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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.