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Finding the Fourth Proportional to 295,141.60, 442,202.10 and 137,045.80

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Solution

The fourth proportional to 295,141.60, 442,202.10 and 137,045.80 is: 205,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,141.60 : 442,202.10 = 137,045.80 : x
  2. Step 2: Convert to fraction form
    295,141.60/442,202.10 = 137,045.80/x
  3. Step 3: Cross multiply
    295,141.60x = 442,202.10 × 137,045.80
  4. Step 4: Simplify right side
    295,141.60x = 60,601,940,556.18
  5. Step 5: Solve for x
    x = 60,601,940,556.18/295,141.60
  6. Step 6: Final answer
    x = 205,331.75

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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.