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Finding the Fourth Proportional to 197,615.52, 296,210.70 and 85,348.53

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Solution

The fourth proportional to 197,615.52, 296,210.70 and 85,348.53 is: 127,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,615.52 : 296,210.70 = 85,348.53 : x
  2. Step 2: Convert to fraction form
    197,615.52/296,210.70 = 85,348.53/x
  3. Step 3: Cross multiply
    197,615.52x = 296,210.70 × 85,348.53
  4. Step 4: Simplify right side
    197,615.52x = 25,281,147,815.27
  5. Step 5: Solve for x
    x = 25,281,147,815.27/197,615.52
  6. Step 6: Final answer
    x = 127,930.98

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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.