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Finding the Fourth Proportional to 159,643.41, 239,194.12 and 96,330.49

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Solution

The fourth proportional to 159,643.41, 239,194.12 and 96,330.49 is: 144,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,643.41 : 239,194.12 = 96,330.49 : x
  2. Step 2: Convert to fraction form
    159,643.41/239,194.12 = 96,330.49/x
  3. Step 3: Cross multiply
    159,643.41x = 239,194.12 × 96,330.49
  4. Step 4: Simplify right side
    159,643.41x = 23,041,686,846.97
  5. Step 5: Solve for x
    x = 23,041,686,846.97/159,643.41
  6. Step 6: Final answer
    x = 144,332.22

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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.