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Finding the Fourth Proportional to 151,309.74, 226,928.16 and 67,023.30

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Solution

The fourth proportional to 151,309.74, 226,928.16 and 67,023.30 is: 100,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,309.74 : 226,928.16 = 67,023.30 : x
  2. Step 2: Convert to fraction form
    151,309.74/226,928.16 = 67,023.30/x
  3. Step 3: Cross multiply
    151,309.74x = 226,928.16 × 67,023.30
  4. Step 4: Simplify right side
    151,309.74x = 15,209,474,146.13
  5. Step 5: Solve for x
    x = 15,209,474,146.13/151,309.74
  6. Step 6: Final answer
    x = 100,518.80

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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.