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Finding the Fourth Proportional to 202,367.46, 279,303.66 and 120,700.95

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Solution

The fourth proportional to 202,367.46, 279,303.66 and 120,700.95 is: 166,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,367.46 : 279,303.66 = 120,700.95 : x
  2. Step 2: Convert to fraction form
    202,367.46/279,303.66 = 120,700.95/x
  3. Step 3: Cross multiply
    202,367.46x = 279,303.66 × 120,700.95
  4. Step 4: Simplify right side
    202,367.46x = 33,712,217,100.48
  5. Step 5: Solve for x
    x = 33,712,217,100.48/202,367.46
  6. Step 6: Final answer
    x = 166,589.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.