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Finding the Fourth Proportional to 202,207.68, 279,049.44 and 111,567.60

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Solution

The fourth proportional to 202,207.68, 279,049.44 and 111,567.60 is: 153,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207.68 : 279,049.44 = 111,567.60 : x
  2. Step 2: Convert to fraction form
    202,207.68/279,049.44 = 111,567.60/x
  3. Step 3: Cross multiply
    202,207.68x = 279,049.44 × 111,567.60
  4. Step 4: Simplify right side
    202,207.68x = 31,132,876,302.14
  5. Step 5: Solve for x
    x = 31,132,876,302.14/202,207.68
  6. Step 6: Final answer
    x = 153,964.86

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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.