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Finding the Fourth Proportional to 197,207.20, 295,810.80 and 185,543.20

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Solution

The fourth proportional to 197,207.20, 295,810.80 and 185,543.20 is: 278,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,207.20 : 295,810.80 = 185,543.20 : x
  2. Step 2: Convert to fraction form
    197,207.20/295,810.80 = 185,543.20/x
  3. Step 3: Cross multiply
    197,207.20x = 295,810.80 × 185,543.20
  4. Step 4: Simplify right side
    197,207.20x = 54,885,682,426.56
  5. Step 5: Solve for x
    x = 54,885,682,426.56/197,207.20
  6. Step 6: Final answer
    x = 278,314.80

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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.