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Finding the Fourth Proportional to 272,596.16, 408,764.88 and 95,081.60

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Solution

The fourth proportional to 272,596.16, 408,764.88 and 95,081.60 is: 142,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,596.16 : 408,764.88 = 95,081.60 : x
  2. Step 2: Convert to fraction form
    272,596.16/408,764.88 = 95,081.60/x
  3. Step 3: Cross multiply
    272,596.16x = 408,764.88 × 95,081.60
  4. Step 4: Simplify right side
    272,596.16x = 38,866,018,814.21
  5. Step 5: Solve for x
    x = 38,866,018,814.21/272,596.16
  6. Step 6: Final answer
    x = 142,577.28

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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.