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Finding the Fourth Proportional to 137,205.20, 192,502 and 137,205.20

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Solution

The fourth proportional to 137,205.20, 192,502 and 137,205.20 is: 192,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,205.20 : 192,502 = 137,205.20 : x
  2. Step 2: Convert to fraction form
    137,205.20/192,502 = 137,205.20/x
  3. Step 3: Cross multiply
    137,205.20x = 192,502 × 137,205.20
  4. Step 4: Simplify right side
    137,205.20x = 26,412,275,410.40
  5. Step 5: Solve for x
    x = 26,412,275,410.40/137,205.20
  6. Step 6: Final answer
    x = 192,502

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.