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Finding the Fourth Proportional to 197,806.96, 296,757.12 and 64,686.70

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Solution

The fourth proportional to 197,806.96, 296,757.12 and 64,686.70 is: 97,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,806.96 : 296,757.12 = 64,686.70 : x
  2. Step 2: Convert to fraction form
    197,806.96/296,757.12 = 64,686.70/x
  3. Step 3: Cross multiply
    197,806.96x = 296,757.12 × 64,686.70
  4. Step 4: Simplify right side
    197,806.96x = 19,196,238,794.30
  5. Step 5: Solve for x
    x = 19,196,238,794.30/197,806.96
  6. Step 6: Final answer
    x = 97,045.32

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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.