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Finding the Fourth Proportional to 233,786.91, 350,695.12 and 98,825.81

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Solution

The fourth proportional to 233,786.91, 350,695.12 and 98,825.81 is: 148,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,786.91 : 350,695.12 = 98,825.81 : x
  2. Step 2: Convert to fraction form
    233,786.91/350,695.12 = 98,825.81/x
  3. Step 3: Cross multiply
    233,786.91x = 350,695.12 × 98,825.81
  4. Step 4: Simplify right side
    233,786.91x = 34,657,729,667.64
  5. Step 5: Solve for x
    x = 34,657,729,667.64/233,786.91
  6. Step 6: Final answer
    x = 148,244.96

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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.