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Finding the Fourth Proportional to 157,358.40, 236,498.40 and 137,083.20

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Solution

The fourth proportional to 157,358.40, 236,498.40 and 137,083.20 is: 206,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,358.40 : 236,498.40 = 137,083.20 : x
  2. Step 2: Convert to fraction form
    157,358.40/236,498.40 = 137,083.20/x
  3. Step 3: Cross multiply
    157,358.40x = 236,498.40 × 137,083.20
  4. Step 4: Simplify right side
    157,358.40x = 32,419,957,466.88
  5. Step 5: Solve for x
    x = 32,419,957,466.88/157,358.40
  6. Step 6: Final answer
    x = 206,026.23

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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.