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Finding the Fourth Proportional to 107,706.38, 148,638.22 and 67,407.26

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Solution

The fourth proportional to 107,706.38, 148,638.22 and 67,407.26 is: 93,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706.38 : 148,638.22 = 67,407.26 : x
  2. Step 2: Convert to fraction form
    107,706.38/148,638.22 = 67,407.26/x
  3. Step 3: Cross multiply
    107,706.38x = 148,638.22 × 67,407.26
  4. Step 4: Simplify right side
    107,706.38x = 10,019,295,141.48
  5. Step 5: Solve for x
    x = 10,019,295,141.48/107,706.38
  6. Step 6: Final answer
    x = 93,024.16

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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.