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Finding the Fourth Proportional to 197,275.56, 295,957.08 and 57,023.52

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Solution

The fourth proportional to 197,275.56, 295,957.08 and 57,023.52 is: 85,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,275.56 : 295,957.08 = 57,023.52 : x
  2. Step 2: Convert to fraction form
    197,275.56/295,957.08 = 57,023.52/x
  3. Step 3: Cross multiply
    197,275.56x = 295,957.08 × 57,023.52
  4. Step 4: Simplify right side
    197,275.56x = 16,876,514,470.52
  5. Step 5: Solve for x
    x = 16,876,514,470.52/197,275.56
  6. Step 6: Final answer
    x = 85,547.92

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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.