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Finding the Fourth Proportional to 205,637.60, 308,456.40 and 197,764.40

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Solution

The fourth proportional to 205,637.60, 308,456.40 and 197,764.40 is: 296,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,637.60 : 308,456.40 = 197,764.40 : x
  2. Step 2: Convert to fraction form
    205,637.60/308,456.40 = 197,764.40/x
  3. Step 3: Cross multiply
    205,637.60x = 308,456.40 × 197,764.40
  4. Step 4: Simplify right side
    205,637.60x = 61,001,694,872.16
  5. Step 5: Solve for x
    x = 61,001,694,872.16/205,637.60
  6. Step 6: Final answer
    x = 296,646.60

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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.