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Finding the Fourth Proportional to 76,158.84, 114,039.54 and 61,286.52

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Solution

The fourth proportional to 76,158.84, 114,039.54 and 61,286.52 is: 91,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,158.84 : 114,039.54 = 61,286.52 : x
  2. Step 2: Convert to fraction form
    76,158.84/114,039.54 = 61,286.52/x
  3. Step 3: Cross multiply
    76,158.84x = 114,039.54 × 61,286.52
  4. Step 4: Simplify right side
    76,158.84x = 6,989,086,549.00
  5. Step 5: Solve for x
    x = 6,989,086,549.00/76,158.84
  6. Step 6: Final answer
    x = 91,769.87

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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.