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Finding the Fourth Proportional to 159,010.74, 238,559.13 and 53,829.72

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Solution

The fourth proportional to 159,010.74, 238,559.13 and 53,829.72 is: 80,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,010.74 : 238,559.13 = 53,829.72 : x
  2. Step 2: Convert to fraction form
    159,010.74/238,559.13 = 53,829.72/x
  3. Step 3: Cross multiply
    159,010.74x = 238,559.13 × 53,829.72
  4. Step 4: Simplify right side
    159,010.74x = 12,841,571,171.34
  5. Step 5: Solve for x
    x = 12,841,571,171.34/159,010.74
  6. Step 6: Final answer
    x = 80,759.14

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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.