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Finding the Fourth Proportional to 233,616.42, 350,424.63 and 65,129.94

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Solution

The fourth proportional to 233,616.42, 350,424.63 and 65,129.94 is: 97,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,616.42 : 350,424.63 = 65,129.94 : x
  2. Step 2: Convert to fraction form
    233,616.42/350,424.63 = 65,129.94/x
  3. Step 3: Cross multiply
    233,616.42x = 350,424.63 × 65,129.94
  4. Step 4: Simplify right side
    233,616.42x = 22,823,135,126.42
  5. Step 5: Solve for x
    x = 22,823,135,126.42/233,616.42
  6. Step 6: Final answer
    x = 97,694.91

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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.