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Finding the Fourth Proportional to 175,862.40, 263,296.80 and 136,874.40

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Solution

The fourth proportional to 175,862.40, 263,296.80 and 136,874.40 is: 204,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,862.40 : 263,296.80 = 136,874.40 : x
  2. Step 2: Convert to fraction form
    175,862.40/263,296.80 = 136,874.40/x
  3. Step 3: Cross multiply
    175,862.40x = 263,296.80 × 136,874.40
  4. Step 4: Simplify right side
    175,862.40x = 36,038,591,521.92
  5. Step 5: Solve for x
    x = 36,038,591,521.92/175,862.40
  6. Step 6: Final answer
    x = 204,924.94

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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.