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Finding the Fourth Proportional to 255,287.80, 352,294.18 and 140,564.05

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Solution

The fourth proportional to 255,287.80, 352,294.18 and 140,564.05 is: 193,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,287.80 : 352,294.18 = 140,564.05 : x
  2. Step 2: Convert to fraction form
    255,287.80/352,294.18 = 140,564.05/x
  3. Step 3: Cross multiply
    255,287.80x = 352,294.18 × 140,564.05
  4. Step 4: Simplify right side
    255,287.80x = 49,519,896,732.23
  5. Step 5: Solve for x
    x = 49,519,896,732.23/255,287.80
  6. Step 6: Final answer
    x = 193,976.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.