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Finding the Fourth Proportional to 230,850, 318,592.44 and 130,267.44

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Solution

The fourth proportional to 230,850, 318,592.44 and 130,267.44 is: 179,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,850 : 318,592.44 = 130,267.44 : x
  2. Step 2: Convert to fraction form
    230,850/318,592.44 = 130,267.44/x
  3. Step 3: Cross multiply
    230,850x = 318,592.44 × 130,267.44
  4. Step 4: Simplify right side
    230,850x = 41,502,221,562.15
  5. Step 5: Solve for x
    x = 41,502,221,562.15/230,850
  6. Step 6: Final answer
    x = 179,780.04

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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.