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Finding the Fourth Proportional to 255,200.65, 352,173.44 and 142,023.40

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Solution

The fourth proportional to 255,200.65, 352,173.44 and 142,023.40 is: 195,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,200.65 : 352,173.44 = 142,023.40 : x
  2. Step 2: Convert to fraction form
    255,200.65/352,173.44 = 142,023.40/x
  3. Step 3: Cross multiply
    255,200.65x = 352,173.44 × 142,023.40
  4. Step 4: Simplify right side
    255,200.65x = 50,016,868,628.38
  5. Step 5: Solve for x
    x = 50,016,868,628.38/255,200.65
  6. Step 6: Final answer
    x = 195,990.37

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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.