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Finding the Fourth Proportional to 231,339.40, 346,490.70 and 120,401.80

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Solution

The fourth proportional to 231,339.40, 346,490.70 and 120,401.80 is: 180,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,339.40 : 346,490.70 = 120,401.80 : x
  2. Step 2: Convert to fraction form
    231,339.40/346,490.70 = 120,401.80/x
  3. Step 3: Cross multiply
    231,339.40x = 346,490.70 × 120,401.80
  4. Step 4: Simplify right side
    231,339.40x = 41,718,103,963.26
  5. Step 5: Solve for x
    x = 41,718,103,963.26/231,339.40
  6. Step 6: Final answer
    x = 180,332.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.