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Finding the Fourth Proportional to 159,842.15, 239,706.78 and 53,197.28

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Solution

The fourth proportional to 159,842.15, 239,706.78 and 53,197.28 is: 79,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,842.15 : 239,706.78 = 53,197.28 : x
  2. Step 2: Convert to fraction form
    159,842.15/239,706.78 = 53,197.28/x
  3. Step 3: Cross multiply
    159,842.15x = 239,706.78 × 53,197.28
  4. Step 4: Simplify right side
    159,842.15x = 12,751,748,693.56
  5. Step 5: Solve for x
    x = 12,751,748,693.56/159,842.15
  6. Step 6: Final answer
    x = 79,777.13

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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.