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Finding the Fourth Proportional to 153,704.79, 230,578.75 and 53,842.11

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Solution

The fourth proportional to 153,704.79, 230,578.75 and 53,842.11 is: 80,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,704.79 : 230,578.75 = 53,842.11 : x
  2. Step 2: Convert to fraction form
    153,704.79/230,578.75 = 53,842.11/x
  3. Step 3: Cross multiply
    153,704.79x = 230,578.75 × 53,842.11
  4. Step 4: Simplify right side
    153,704.79x = 12,414,846,421.16
  5. Step 5: Solve for x
    x = 12,414,846,421.16/153,704.79
  6. Step 6: Final answer
    x = 80,770.72

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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.