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Finding the Fourth Proportional to 262,423.97, 393,633.36 and 120,228.90

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Solution

The fourth proportional to 262,423.97, 393,633.36 and 120,228.90 is: 180,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423.97 : 393,633.36 = 120,228.90 : x
  2. Step 2: Convert to fraction form
    262,423.97/393,633.36 = 120,228.90/x
  3. Step 3: Cross multiply
    262,423.97x = 393,633.36 × 120,228.90
  4. Step 4: Simplify right side
    262,423.97x = 47,326,105,876.10
  5. Step 5: Solve for x
    x = 47,326,105,876.10/262,423.97
  6. Step 6: Final answer
    x = 180,342.16

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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.