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Finding the Fourth Proportional to 255,202.65, 352,176.20 and 142,025.40

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Solution

The fourth proportional to 255,202.65, 352,176.20 and 142,025.40 is: 195,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,202.65 : 352,176.20 = 142,025.40 : x
  2. Step 2: Convert to fraction form
    255,202.65/352,176.20 = 142,025.40/x
  3. Step 3: Cross multiply
    255,202.65x = 352,176.20 × 142,025.40
  4. Step 4: Simplify right side
    255,202.65x = 50,017,964,965.35
  5. Step 5: Solve for x
    x = 50,017,964,965.35/255,202.65
  6. Step 6: Final answer
    x = 195,993.13

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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.