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Finding the Fourth Proportional to 199,585.40, 299,378.10 and 189,743.90

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Solution

The fourth proportional to 199,585.40, 299,378.10 and 189,743.90 is: 284,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,585.40 : 299,378.10 = 189,743.90 : x
  2. Step 2: Convert to fraction form
    199,585.40/299,378.10 = 189,743.90/x
  3. Step 3: Cross multiply
    199,585.40x = 299,378.10 × 189,743.90
  4. Step 4: Simplify right side
    199,585.40x = 56,805,168,268.59
  5. Step 5: Solve for x
    x = 56,805,168,268.59/199,585.40
  6. Step 6: Final answer
    x = 284,615.85

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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.