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Finding the Fourth Proportional to 223,399.30, 335,098.95 and 98,983.30

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Solution

The fourth proportional to 223,399.30, 335,098.95 and 98,983.30 is: 148,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,399.30 : 335,098.95 = 98,983.30 : x
  2. Step 2: Convert to fraction form
    223,399.30/335,098.95 = 98,983.30/x
  3. Step 3: Cross multiply
    223,399.30x = 335,098.95 × 98,983.30
  4. Step 4: Simplify right side
    223,399.30x = 33,169,199,897.54
  5. Step 5: Solve for x
    x = 33,169,199,897.54/223,399.30
  6. Step 6: Final answer
    x = 148,474.95

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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.