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Finding the Fourth Proportional to 197,565.27, 296,048.56 and 130,766.09

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Solution

The fourth proportional to 197,565.27, 296,048.56 and 130,766.09 is: 195,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,565.27 : 296,048.56 = 130,766.09 : x
  2. Step 2: Convert to fraction form
    197,565.27/296,048.56 = 130,766.09/x
  3. Step 3: Cross multiply
    197,565.27x = 296,048.56 × 130,766.09
  4. Step 4: Simplify right side
    197,565.27x = 38,713,111,987.50
  5. Step 5: Solve for x
    x = 38,713,111,987.50/197,565.27
  6. Step 6: Final answer
    x = 195,951.00

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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.