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Finding the Fourth Proportional to 233,229.76, 349,895.67 and 75,455.95

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Solution

The fourth proportional to 233,229.76, 349,895.67 and 75,455.95 is: 113,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,229.76 : 349,895.67 = 75,455.95 : x
  2. Step 2: Convert to fraction form
    233,229.76/349,895.67 = 75,455.95/x
  3. Step 3: Cross multiply
    233,229.76x = 349,895.67 × 75,455.95
  4. Step 4: Simplify right side
    233,229.76x = 26,401,710,180.74
  5. Step 5: Solve for x
    x = 26,401,710,180.74/233,229.76
  6. Step 6: Final answer
    x = 113,200.43

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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.