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Finding the Fourth Proportional to 204,548.98, 306,809.97 and 98,009.14

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Solution

The fourth proportional to 204,548.98, 306,809.97 and 98,009.14 is: 147,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,548.98 : 306,809.97 = 98,009.14 : x
  2. Step 2: Convert to fraction form
    204,548.98/306,809.97 = 98,009.14/x
  3. Step 3: Cross multiply
    204,548.98x = 306,809.97 × 98,009.14
  4. Step 4: Simplify right side
    204,548.98x = 30,070,181,303.13
  5. Step 5: Solve for x
    x = 30,070,181,303.13/204,548.98
  6. Step 6: Final answer
    x = 147,007.24

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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.