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Finding the Fourth Proportional to 202,303.82, 279,273.76 and 117,404.48

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Solution

The fourth proportional to 202,303.82, 279,273.76 and 117,404.48 is: 162,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,303.82 : 279,273.76 = 117,404.48 : x
  2. Step 2: Convert to fraction form
    202,303.82/279,273.76 = 117,404.48/x
  3. Step 3: Cross multiply
    202,303.82x = 279,273.76 × 117,404.48
  4. Step 4: Simplify right side
    202,303.82x = 32,787,990,570.44
  5. Step 5: Solve for x
    x = 32,787,990,570.44/202,303.82
  6. Step 6: Final answer
    x = 162,073.02

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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.