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Finding the Fourth Proportional to 197,910.10, 296,752.67 and 77,902.01

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Solution

The fourth proportional to 197,910.10, 296,752.67 and 77,902.01 is: 116,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,910.10 : 296,752.67 = 77,902.01 : x
  2. Step 2: Convert to fraction form
    197,910.10/296,752.67 = 77,902.01/x
  3. Step 3: Cross multiply
    197,910.10x = 296,752.67 × 77,902.01
  4. Step 4: Simplify right side
    197,910.10x = 23,117,627,592.59
  5. Step 5: Solve for x
    x = 23,117,627,592.59/197,910.10
  6. Step 6: Final answer
    x = 116,808.73

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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.