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Finding the Fourth Proportional to 107,760.14, 161,640.20 and 41,207

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Solution

The fourth proportional to 107,760.14, 161,640.20 and 41,207 is: 61,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,760.14 : 161,640.20 = 41,207 : x
  2. Step 2: Convert to fraction form
    107,760.14/161,640.20 = 41,207/x
  3. Step 3: Cross multiply
    107,760.14x = 161,640.20 × 41,207
  4. Step 4: Simplify right side
    107,760.14x = 6,660,707,721.40
  5. Step 5: Solve for x
    x = 6,660,707,721.40/107,760.14
  6. Step 6: Final answer
    x = 61,810.50

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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.