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Finding the Fourth Proportional to 197,358.80, 296,081.40 and 64,216.40

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Solution

The fourth proportional to 197,358.80, 296,081.40 and 64,216.40 is: 96,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,358.80 : 296,081.40 = 64,216.40 : x
  2. Step 2: Convert to fraction form
    197,358.80/296,081.40 = 64,216.40/x
  3. Step 3: Cross multiply
    197,358.80x = 296,081.40 × 64,216.40
  4. Step 4: Simplify right side
    197,358.80x = 19,013,281,614.96
  5. Step 5: Solve for x
    x = 19,013,281,614.96/197,358.80
  6. Step 6: Final answer
    x = 96,338.66

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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.