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Finding the Fourth Proportional to 197,651.86, 296,494.14 and 64,529.18

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Solution

The fourth proportional to 197,651.86, 296,494.14 and 64,529.18 is: 96,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,651.86 : 296,494.14 = 64,529.18 : x
  2. Step 2: Convert to fraction form
    197,651.86/296,494.14 = 64,529.18/x
  3. Step 3: Cross multiply
    197,651.86x = 296,494.14 × 64,529.18
  4. Step 4: Simplify right side
    197,651.86x = 19,132,523,729.01
  5. Step 5: Solve for x
    x = 19,132,523,729.01/197,651.86
  6. Step 6: Final answer
    x = 96,799.11

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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.