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Finding the Fourth Proportional to 216,149.84, 298,291.82 and 135,580.76

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Solution

The fourth proportional to 216,149.84, 298,291.82 and 135,580.76 is: 187,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,149.84 : 298,291.82 = 135,580.76 : x
  2. Step 2: Convert to fraction form
    216,149.84/298,291.82 = 135,580.76/x
  3. Step 3: Cross multiply
    216,149.84x = 298,291.82 × 135,580.76
  4. Step 4: Simplify right side
    216,149.84x = 40,442,631,657.38
  5. Step 5: Solve for x
    x = 40,442,631,657.38/216,149.84
  6. Step 6: Final answer
    x = 187,104.61

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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.