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Finding the Fourth Proportional to 175,640.49, 263,472.47 and 61,774.64

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Solution

The fourth proportional to 175,640.49, 263,472.47 and 61,774.64 is: 92,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,640.49 : 263,472.47 = 61,774.64 : x
  2. Step 2: Convert to fraction form
    175,640.49/263,472.47 = 61,774.64/x
  3. Step 3: Cross multiply
    175,640.49x = 263,472.47 × 61,774.64
  4. Step 4: Simplify right side
    175,640.49x = 16,275,915,357.93
  5. Step 5: Solve for x
    x = 16,275,915,357.93/175,640.49
  6. Step 6: Final answer
    x = 92,666.08

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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.