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Finding the Fourth Proportional to 295,251.30, 442,574.55 and 145,260.90

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Solution

The fourth proportional to 295,251.30, 442,574.55 and 145,260.90 is: 217,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,251.30 : 442,574.55 = 145,260.90 : x
  2. Step 2: Convert to fraction form
    295,251.30/442,574.55 = 145,260.90/x
  3. Step 3: Cross multiply
    295,251.30x = 442,574.55 × 145,260.90
  4. Step 4: Simplify right side
    295,251.30x = 64,288,777,450.10
  5. Step 5: Solve for x
    x = 64,288,777,450.10/295,251.30
  6. Step 6: Final answer
    x = 217,742.57

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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.