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Finding the Fourth Proportional to 205,872.60, 308,204.10 and 153,514.20

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Solution

The fourth proportional to 205,872.60, 308,204.10 and 153,514.20 is: 229,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,872.60 : 308,204.10 = 153,514.20 : x
  2. Step 2: Convert to fraction form
    205,872.60/308,204.10 = 153,514.20/x
  3. Step 3: Cross multiply
    205,872.60x = 308,204.10 × 153,514.20
  4. Step 4: Simplify right side
    205,872.60x = 47,313,705,848.22
  5. Step 5: Solve for x
    x = 47,313,705,848.22/205,872.60
  6. Step 6: Final answer
    x = 229,820.32

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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.