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Finding the Fourth Proportional to 239,422.50, 359,135.55 and 106,266.96

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Solution

The fourth proportional to 239,422.50, 359,135.55 and 106,266.96 is: 159,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,422.50 : 359,135.55 = 106,266.96 : x
  2. Step 2: Convert to fraction form
    239,422.50/359,135.55 = 106,266.96/x
  3. Step 3: Cross multiply
    239,422.50x = 359,135.55 × 106,266.96
  4. Step 4: Simplify right side
    239,422.50x = 38,164,243,126.43
  5. Step 5: Solve for x
    x = 38,164,243,126.43/239,422.50
  6. Step 6: Final answer
    x = 159,401.24

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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.