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Finding the Fourth Proportional to 205,829.70, 308,744.55 and 72,714.30

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Solution

The fourth proportional to 205,829.70, 308,744.55 and 72,714.30 is: 109,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,829.70 : 308,744.55 = 72,714.30 : x
  2. Step 2: Convert to fraction form
    205,829.70/308,744.55 = 72,714.30/x
  3. Step 3: Cross multiply
    205,829.70x = 308,744.55 × 72,714.30
  4. Step 4: Simplify right side
    205,829.70x = 22,450,143,832.07
  5. Step 5: Solve for x
    x = 22,450,143,832.07/205,829.70
  6. Step 6: Final answer
    x = 109,071.45

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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.