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Finding the Fourth Proportional to 261,584.80, 392,380.80 and 74,596.32

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Solution

The fourth proportional to 261,584.80, 392,380.80 and 74,596.32 is: 111,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,584.80 : 392,380.80 = 74,596.32 : x
  2. Step 2: Convert to fraction form
    261,584.80/392,380.80 = 74,596.32/x
  3. Step 3: Cross multiply
    261,584.80x = 392,380.80 × 74,596.32
  4. Step 4: Simplify right side
    261,584.80x = 29,270,163,718.66
  5. Step 5: Solve for x
    x = 29,270,163,718.66/261,584.80
  6. Step 6: Final answer
    x = 111,895.51

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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.