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Finding the Fourth Proportional to 233,271.43, 349,962.66 and 75,499.88

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Solution

The fourth proportional to 233,271.43, 349,962.66 and 75,499.88 is: 113,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,271.43 : 349,962.66 = 75,499.88 : x
  2. Step 2: Convert to fraction form
    233,271.43/349,962.66 = 75,499.88/x
  3. Step 3: Cross multiply
    233,271.43x = 349,962.66 × 75,499.88
  4. Step 4: Simplify right side
    233,271.43x = 26,422,138,834.48
  5. Step 5: Solve for x
    x = 26,422,138,834.48/233,271.43
  6. Step 6: Final answer
    x = 113,267.79

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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.