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Finding the Fourth Proportional to 272,034.20, 408,051.30 and 105,822.20

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Solution

The fourth proportional to 272,034.20, 408,051.30 and 105,822.20 is: 158,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,034.20 : 408,051.30 = 105,822.20 : x
  2. Step 2: Convert to fraction form
    272,034.20/408,051.30 = 105,822.20/x
  3. Step 3: Cross multiply
    272,034.20x = 408,051.30 × 105,822.20
  4. Step 4: Simplify right side
    272,034.20x = 43,180,886,278.86
  5. Step 5: Solve for x
    x = 43,180,886,278.86/272,034.20
  6. Step 6: Final answer
    x = 158,733.30

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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.