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Finding the Fourth Proportional to 194,811.80, 292,217.70 and 180,231.80

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Solution

The fourth proportional to 194,811.80, 292,217.70 and 180,231.80 is: 270,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,811.80 : 292,217.70 = 180,231.80 : x
  2. Step 2: Convert to fraction form
    194,811.80/292,217.70 = 180,231.80/x
  3. Step 3: Cross multiply
    194,811.80x = 292,217.70 × 180,231.80
  4. Step 4: Simplify right side
    194,811.80x = 52,666,922,062.86
  5. Step 5: Solve for x
    x = 52,666,922,062.86/194,811.80
  6. Step 6: Final answer
    x = 270,347.70

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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.