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Finding the Fourth Proportional to 309,309.76, 463,982.10 and 96,107.95

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Solution

The fourth proportional to 309,309.76, 463,982.10 and 96,107.95 is: 144,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,309.76 : 463,982.10 = 96,107.95 : x
  2. Step 2: Convert to fraction form
    309,309.76/463,982.10 = 96,107.95/x
  3. Step 3: Cross multiply
    309,309.76x = 463,982.10 × 96,107.95
  4. Step 4: Simplify right side
    309,309.76x = 44,592,368,467.70
  5. Step 5: Solve for x
    x = 44,592,368,467.70/309,309.76
  6. Step 6: Final answer
    x = 144,167.35

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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.