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Finding the Fourth Proportional to 158,497.15, 218,748.49 and 98,087.24

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Solution

The fourth proportional to 158,497.15, 218,748.49 and 98,087.24 is: 135,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,497.15 : 218,748.49 = 98,087.24 : x
  2. Step 2: Convert to fraction form
    158,497.15/218,748.49 = 98,087.24/x
  3. Step 3: Cross multiply
    158,497.15x = 218,748.49 × 98,087.24
  4. Step 4: Simplify right side
    158,497.15x = 21,456,435,939.92
  5. Step 5: Solve for x
    x = 21,456,435,939.92/158,497.15
  6. Step 6: Final answer
    x = 135,374.27

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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.