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Finding the Fourth Proportional to 155,711.74, 233,449.92 and 65,782.30

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Solution

The fourth proportional to 155,711.74, 233,449.92 and 65,782.30 is: 98,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,711.74 : 233,449.92 = 65,782.30 : x
  2. Step 2: Convert to fraction form
    155,711.74/233,449.92 = 65,782.30/x
  3. Step 3: Cross multiply
    155,711.74x = 233,449.92 × 65,782.30
  4. Step 4: Simplify right side
    155,711.74x = 15,356,872,672.42
  5. Step 5: Solve for x
    x = 15,356,872,672.42/155,711.74
  6. Step 6: Final answer
    x = 98,623.73

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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.