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Finding the Fourth Proportional to 157,165.98, 216,987.04 and 109,401.90

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Solution

The fourth proportional to 157,165.98, 216,987.04 and 109,401.90 is: 151,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,165.98 : 216,987.04 = 109,401.90 : x
  2. Step 2: Convert to fraction form
    157,165.98/216,987.04 = 109,401.90/x
  3. Step 3: Cross multiply
    157,165.98x = 216,987.04 × 109,401.90
  4. Step 4: Simplify right side
    157,165.98x = 23,738,794,451.38
  5. Step 5: Solve for x
    x = 23,738,794,451.38/157,165.98
  6. Step 6: Final answer
    x = 151,042.83

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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.