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Finding the Fourth Proportional to 199,394.76, 299,232.42 and 180,337.50

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Solution

The fourth proportional to 199,394.76, 299,232.42 and 180,337.50 is: 270,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,394.76 : 299,232.42 = 180,337.50 : x
  2. Step 2: Convert to fraction form
    199,394.76/299,232.42 = 180,337.50/x
  3. Step 3: Cross multiply
    199,394.76x = 299,232.42 × 180,337.50
  4. Step 4: Simplify right side
    199,394.76x = 53,962,826,541.75
  5. Step 5: Solve for x
    x = 53,962,826,541.75/199,394.76
  6. Step 6: Final answer
    x = 270,633.12

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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.