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Finding the Fourth Proportional to 99,225, 136,932.12 and 56,806.92

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Solution

The fourth proportional to 99,225, 136,932.12 and 56,806.92 is: 78,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,225 : 136,932.12 = 56,806.92 : x
  2. Step 2: Convert to fraction form
    99,225/136,932.12 = 56,806.92/x
  3. Step 3: Cross multiply
    99,225x = 136,932.12 × 56,806.92
  4. Step 4: Simplify right side
    99,225x = 7,778,691,986.27
  5. Step 5: Solve for x
    x = 7,778,691,986.27/99,225
  6. Step 6: Final answer
    x = 78,394.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.