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Finding the Fourth Proportional to 121,505.84, 182,242.76 and 36,114.87

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Solution

The fourth proportional to 121,505.84, 182,242.76 and 36,114.87 is: 54,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,505.84 : 182,242.76 = 36,114.87 : x
  2. Step 2: Convert to fraction form
    121,505.84/182,242.76 = 36,114.87/x
  3. Step 3: Cross multiply
    121,505.84x = 182,242.76 × 36,114.87
  4. Step 4: Simplify right side
    121,505.84x = 6,581,674,291.82
  5. Step 5: Solve for x
    x = 6,581,674,291.82/121,505.84
  6. Step 6: Final answer
    x = 54,167.56

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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.