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Finding the Fourth Proportional to 153,909.20, 230,863.80 and 151,284.80

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Solution

The fourth proportional to 153,909.20, 230,863.80 and 151,284.80 is: 226,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,909.20 : 230,863.80 = 151,284.80 : x
  2. Step 2: Convert to fraction form
    153,909.20/230,863.80 = 151,284.80/x
  3. Step 3: Cross multiply
    153,909.20x = 230,863.80 × 151,284.80
  4. Step 4: Simplify right side
    153,909.20x = 34,926,183,810.24
  5. Step 5: Solve for x
    x = 34,926,183,810.24/153,909.20
  6. Step 6: Final answer
    x = 226,927.20

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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.