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Finding the Fourth Proportional to 205,877.60, 308,816.40 and 198,004.40

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Solution

The fourth proportional to 205,877.60, 308,816.40 and 198,004.40 is: 297,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877.60 : 308,816.40 = 198,004.40 : x
  2. Step 2: Convert to fraction form
    205,877.60/308,816.40 = 198,004.40/x
  3. Step 3: Cross multiply
    205,877.60x = 308,816.40 × 198,004.40
  4. Step 4: Simplify right side
    205,877.60x = 61,147,005,992.16
  5. Step 5: Solve for x
    x = 61,147,005,992.16/205,877.60
  6. Step 6: Final answer
    x = 297,006.60

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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.