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Finding the Fourth Proportional to 82,057.69, 122,955.29 and 74,184.49

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Solution

The fourth proportional to 82,057.69, 122,955.29 and 74,184.49 is: 111,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.69 : 122,955.29 = 74,184.49 : x
  2. Step 2: Convert to fraction form
    82,057.69/122,955.29 = 74,184.49/x
  3. Step 3: Cross multiply
    82,057.69x = 122,955.29 × 74,184.49
  4. Step 4: Simplify right side
    82,057.69x = 9,121,374,495.75
  5. Step 5: Solve for x
    x = 9,121,374,495.75/82,057.69
  6. Step 6: Final answer
    x = 111,158.08

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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.