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Finding the Fourth Proportional to 117,218.16, 175,890.24 and 77,793.84

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Solution

The fourth proportional to 117,218.16, 175,890.24 and 77,793.84 is: 116,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,218.16 : 175,890.24 = 77,793.84 : x
  2. Step 2: Convert to fraction form
    117,218.16/175,890.24 = 77,793.84/x
  3. Step 3: Cross multiply
    117,218.16x = 175,890.24 × 77,793.84
  4. Step 4: Simplify right side
    117,218.16x = 13,683,177,188.12
  5. Step 5: Solve for x
    x = 13,683,177,188.12/117,218.16
  6. Step 6: Final answer
    x = 116,732.57

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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.