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Finding the Fourth Proportional to 175,838.40, 263,260.80 and 136,850.40

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Solution

The fourth proportional to 175,838.40, 263,260.80 and 136,850.40 is: 204,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,838.40 : 263,260.80 = 136,850.40 : x
  2. Step 2: Convert to fraction form
    175,838.40/263,260.80 = 136,850.40/x
  3. Step 3: Cross multiply
    175,838.40x = 263,260.80 × 136,850.40
  4. Step 4: Simplify right side
    175,838.40x = 36,027,345,784.32
  5. Step 5: Solve for x
    x = 36,027,345,784.32/175,838.40
  6. Step 6: Final answer
    x = 204,888.95

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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.