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Finding the Fourth Proportional to 202,468.68, 279,405.45 and 111,830.49

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Solution

The fourth proportional to 202,468.68, 279,405.45 and 111,830.49 is: 154,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468.68 : 279,405.45 = 111,830.49 : x
  2. Step 2: Convert to fraction form
    202,468.68/279,405.45 = 111,830.49/x
  3. Step 3: Cross multiply
    202,468.68x = 279,405.45 × 111,830.49
  4. Step 4: Simplify right side
    202,468.68x = 31,246,048,382.17
  5. Step 5: Solve for x
    x = 31,246,048,382.17/202,468.68
  6. Step 6: Final answer
    x = 154,325.34

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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.