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Finding the Fourth Proportional to 149,129.68, 205,798.62 and 82,061.68

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Solution

The fourth proportional to 149,129.68, 205,798.62 and 82,061.68 is: 113,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.68 : 205,798.62 = 82,061.68 : x
  2. Step 2: Convert to fraction form
    149,129.68/205,798.62 = 82,061.68/x
  3. Step 3: Cross multiply
    149,129.68x = 205,798.62 × 82,061.68
  4. Step 4: Simplify right side
    149,129.68x = 16,888,180,498.88
  5. Step 5: Solve for x
    x = 16,888,180,498.88/149,129.68
  6. Step 6: Final answer
    x = 113,244.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.