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Finding the Fourth Proportional to 202,711.95, 279,759.69 and 117,823.50

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Solution

The fourth proportional to 202,711.95, 279,759.69 and 117,823.50 is: 162,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,711.95 : 279,759.69 = 117,823.50 : x
  2. Step 2: Convert to fraction form
    202,711.95/279,759.69 = 117,823.50/x
  3. Step 3: Cross multiply
    202,711.95x = 279,759.69 × 117,823.50
  4. Step 4: Simplify right side
    202,711.95x = 32,962,265,834.72
  5. Step 5: Solve for x
    x = 32,962,265,834.72/202,711.95
  6. Step 6: Final answer
    x = 162,606.43

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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.