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Finding the Fourth Proportional to 233,280.62, 349,976.46 and 75,509.06

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Solution

The fourth proportional to 233,280.62, 349,976.46 and 75,509.06 is: 113,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280.62 : 349,976.46 = 75,509.06 : x
  2. Step 2: Convert to fraction form
    233,280.62/349,976.46 = 75,509.06/x
  3. Step 3: Cross multiply
    233,280.62x = 349,976.46 × 75,509.06
  4. Step 4: Simplify right side
    233,280.62x = 26,426,393,516.73
  5. Step 5: Solve for x
    x = 26,426,393,516.73/233,280.62
  6. Step 6: Final answer
    x = 113,281.56

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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.