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Finding the Fourth Proportional to 194,698.20, 292,047.30 and 177,187.80

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Solution

The fourth proportional to 194,698.20, 292,047.30 and 177,187.80 is: 265,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,698.20 : 292,047.30 = 177,187.80 : x
  2. Step 2: Convert to fraction form
    194,698.20/292,047.30 = 177,187.80/x
  3. Step 3: Cross multiply
    194,698.20x = 292,047.30 × 177,187.80
  4. Step 4: Simplify right side
    194,698.20x = 51,747,218,582.94
  5. Step 5: Solve for x
    x = 51,747,218,582.94/194,698.20
  6. Step 6: Final answer
    x = 265,781.70

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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.