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Finding the Fourth Proportional to 197,773.91, 296,541.25 and 77,687.11

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Solution

The fourth proportional to 197,773.91, 296,541.25 and 77,687.11 is: 116,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,773.91 : 296,541.25 = 77,687.11 : x
  2. Step 2: Convert to fraction form
    197,773.91/296,541.25 = 77,687.11/x
  3. Step 3: Cross multiply
    197,773.91x = 296,541.25 × 77,687.11
  4. Step 4: Simplify right side
    197,773.91x = 23,037,432,708.29
  5. Step 5: Solve for x
    x = 23,037,432,708.29/197,773.91
  6. Step 6: Final answer
    x = 116,483.68

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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.