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Finding the Fourth Proportional to 138,427.20, 207,640.80 and 103,435.20

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Solution

The fourth proportional to 138,427.20, 207,640.80 and 103,435.20 is: 155,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,427.20 : 207,640.80 = 103,435.20 : x
  2. Step 2: Convert to fraction form
    138,427.20/207,640.80 = 103,435.20/x
  3. Step 3: Cross multiply
    138,427.20x = 207,640.80 × 103,435.20
  4. Step 4: Simplify right side
    138,427.20x = 21,477,367,676.16
  5. Step 5: Solve for x
    x = 21,477,367,676.16/138,427.20
  6. Step 6: Final answer
    x = 155,152.80

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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.