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Finding the Fourth Proportional to 213,884.80, 320,827.20 and 164,118.40

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Solution

The fourth proportional to 213,884.80, 320,827.20 and 164,118.40 is: 246,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,884.80 : 320,827.20 = 164,118.40 : x
  2. Step 2: Convert to fraction form
    213,884.80/320,827.20 = 164,118.40/x
  3. Step 3: Cross multiply
    213,884.80x = 320,827.20 × 164,118.40
  4. Step 4: Simplify right side
    213,884.80x = 52,653,646,740.48
  5. Step 5: Solve for x
    x = 52,653,646,740.48/213,884.80
  6. Step 6: Final answer
    x = 246,177.60

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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.