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Finding the Fourth Proportional to 216,160.86, 298,307.01 and 135,591.78

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Solution

The fourth proportional to 216,160.86, 298,307.01 and 135,591.78 is: 187,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,160.86 : 298,307.01 = 135,591.78 : x
  2. Step 2: Convert to fraction form
    216,160.86/298,307.01 = 135,591.78/x
  3. Step 3: Cross multiply
    216,160.86x = 298,307.01 × 135,591.78
  4. Step 4: Simplify right side
    216,160.86x = 40,447,978,472.38
  5. Step 5: Solve for x
    x = 40,447,978,472.38/216,160.86
  6. Step 6: Final answer
    x = 187,119.81

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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.