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Finding the Fourth Proportional to 96,214, 144,320.64 and 26,093.20

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Solution

The fourth proportional to 96,214, 144,320.64 and 26,093.20 is: 39,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,214 : 144,320.64 = 26,093.20 : x
  2. Step 2: Convert to fraction form
    96,214/144,320.64 = 26,093.20/x
  3. Step 3: Cross multiply
    96,214x = 144,320.64 × 26,093.20
  4. Step 4: Simplify right side
    96,214x = 3,765,787,323.65
  5. Step 5: Solve for x
    x = 3,765,787,323.65/96,214
  6. Step 6: Final answer
    x = 39,139.70

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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.