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Finding the Fourth Proportional to 218,292.26, 327,438.47 and 98,208.98

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Solution

The fourth proportional to 218,292.26, 327,438.47 and 98,208.98 is: 147,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,292.26 : 327,438.47 = 98,208.98 : x
  2. Step 2: Convert to fraction form
    218,292.26/327,438.47 = 98,208.98/x
  3. Step 3: Cross multiply
    218,292.26x = 327,438.47 × 98,208.98
  4. Step 4: Simplify right side
    218,292.26x = 32,157,398,151.46
  5. Step 5: Solve for x
    x = 32,157,398,151.46/218,292.26
  6. Step 6: Final answer
    x = 147,313.51

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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.