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Finding the Fourth Proportional to 196,227.93, 294,391.11 and 77,860.20

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Solution

The fourth proportional to 196,227.93, 294,391.11 and 77,860.20 is: 116,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,227.93 : 294,391.11 = 77,860.20 : x
  2. Step 2: Convert to fraction form
    196,227.93/294,391.11 = 77,860.20/x
  3. Step 3: Cross multiply
    196,227.93x = 294,391.11 × 77,860.20
  4. Step 4: Simplify right side
    196,227.93x = 22,921,350,702.82
  5. Step 5: Solve for x
    x = 22,921,350,702.82/196,227.93
  6. Step 6: Final answer
    x = 116,809.83

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1.5x scale

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.