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Finding the Fourth Proportional to 199,643.10, 299,464.65 and 169,575.90

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Solution

The fourth proportional to 199,643.10, 299,464.65 and 169,575.90 is: 254,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,643.10 : 299,464.65 = 169,575.90 : x
  2. Step 2: Convert to fraction form
    199,643.10/299,464.65 = 169,575.90/x
  3. Step 3: Cross multiply
    199,643.10x = 299,464.65 × 169,575.90
  4. Step 4: Simplify right side
    199,643.10x = 50,781,987,541.94
  5. Step 5: Solve for x
    x = 50,781,987,541.94/199,643.10
  6. Step 6: Final answer
    x = 254,363.85

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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.