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Finding the Fourth Proportional to 295,181.20, 442,901.40 and 137,328.40

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Solution

The fourth proportional to 295,181.20, 442,901.40 and 137,328.40 is: 206,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,181.20 : 442,901.40 = 137,328.40 : x
  2. Step 2: Convert to fraction form
    295,181.20/442,901.40 = 137,328.40/x
  3. Step 3: Cross multiply
    295,181.20x = 442,901.40 × 137,328.40
  4. Step 4: Simplify right side
    295,181.20x = 60,822,940,619.76
  5. Step 5: Solve for x
    x = 60,822,940,619.76/295,181.20
  6. Step 6: Final answer
    x = 206,052.89

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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.