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Finding the Fourth Proportional to 82,159.56, 122,655.78 and 79,243.56

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Solution

The fourth proportional to 82,159.56, 122,655.78 and 79,243.56 is: 118,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,159.56 : 122,655.78 = 79,243.56 : x
  2. Step 2: Convert to fraction form
    82,159.56/122,655.78 = 79,243.56/x
  3. Step 3: Cross multiply
    82,159.56x = 122,655.78 × 79,243.56
  4. Step 4: Simplify right side
    82,159.56x = 9,719,680,661.78
  5. Step 5: Solve for x
    x = 9,719,680,661.78/82,159.56
  6. Step 6: Final answer
    x = 118,302.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.