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Finding the Fourth Proportional to 307,175.83, 460,763.89 and 96,830.17

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Solution

The fourth proportional to 307,175.83, 460,763.89 and 96,830.17 is: 145,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,175.83 : 460,763.89 = 96,830.17 : x
  2. Step 2: Convert to fraction form
    307,175.83/460,763.89 = 96,830.17/x
  3. Step 3: Cross multiply
    307,175.83x = 460,763.89 × 96,830.17
  4. Step 4: Simplify right side
    307,175.83x = 44,615,844,404.58
  5. Step 5: Solve for x
    x = 44,615,844,404.58/307,175.83
  6. Step 6: Final answer
    x = 145,245.30

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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.