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Finding the Fourth Proportional to 165,649.60, 248,328.60 and 99,116.20

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Solution

The fourth proportional to 165,649.60, 248,328.60 and 99,116.20 is: 148,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,649.60 : 248,328.60 = 99,116.20 : x
  2. Step 2: Convert to fraction form
    165,649.60/248,328.60 = 99,116.20/x
  3. Step 3: Cross multiply
    165,649.60x = 248,328.60 × 99,116.20
  4. Step 4: Simplify right side
    165,649.60x = 24,613,387,183.32
  5. Step 5: Solve for x
    x = 24,613,387,183.32/165,649.60
  6. Step 6: Final answer
    x = 148,587.06

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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.