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Finding the Fourth Proportional to 218,256.88, 327,274.58 and 99,826.74

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Solution

The fourth proportional to 218,256.88, 327,274.58 and 99,826.74 is: 149,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,256.88 : 327,274.58 = 99,826.74 : x
  2. Step 2: Convert to fraction form
    218,256.88/327,274.58 = 99,826.74/x
  3. Step 3: Cross multiply
    218,256.88x = 327,274.58 × 99,826.74
  4. Step 4: Simplify right side
    218,256.88x = 32,670,754,406.27
  5. Step 5: Solve for x
    x = 32,670,754,406.27/218,256.88
  6. Step 6: Final answer
    x = 149,689.46

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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.