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Finding the Fourth Proportional to 213,304.32, 294,192 and 198,996.48

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Solution

The fourth proportional to 213,304.32, 294,192 and 198,996.48 is: 274,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,304.32 : 294,192 = 198,996.48 : x
  2. Step 2: Convert to fraction form
    213,304.32/294,192 = 198,996.48/x
  3. Step 3: Cross multiply
    213,304.32x = 294,192 × 198,996.48
  4. Step 4: Simplify right side
    213,304.32x = 58,543,172,444.16
  5. Step 5: Solve for x
    x = 58,543,172,444.16/213,304.32
  6. Step 6: Final answer
    x = 274,458.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.