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Finding the Fourth Proportional to 154,615.96, 231,926.10 and 43,807.96

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Solution

The fourth proportional to 154,615.96, 231,926.10 and 43,807.96 is: 65,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,615.96 : 231,926.10 = 43,807.96 : x
  2. Step 2: Convert to fraction form
    154,615.96/231,926.10 = 43,807.96/x
  3. Step 3: Cross multiply
    154,615.96x = 231,926.10 × 43,807.96
  4. Step 4: Simplify right side
    154,615.96x = 10,160,209,311.76
  5. Step 5: Solve for x
    x = 10,160,209,311.76/154,615.96
  6. Step 6: Final answer
    x = 65,712.55

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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.