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Finding the Fourth Proportional to 202,322.94, 279,205.68 and 111,678.94

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Solution

The fourth proportional to 202,322.94, 279,205.68 and 111,678.94 is: 154,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,322.94 : 279,205.68 = 111,678.94 : x
  2. Step 2: Convert to fraction form
    202,322.94/279,205.68 = 111,678.94/x
  3. Step 3: Cross multiply
    202,322.94x = 279,205.68 × 111,678.94
  4. Step 4: Simplify right side
    202,322.94x = 31,181,394,384.38
  5. Step 5: Solve for x
    x = 31,181,394,384.38/202,322.94
  6. Step 6: Final answer
    x = 154,116.95

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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.