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Finding the Fourth Proportional to 202,856.95, 279,874.60 and 116,814.08

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Solution

The fourth proportional to 202,856.95, 279,874.60 and 116,814.08 is: 161,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,856.95 : 279,874.60 = 116,814.08 : x
  2. Step 2: Convert to fraction form
    202,856.95/279,874.60 = 116,814.08/x
  3. Step 3: Cross multiply
    202,856.95x = 279,874.60 × 116,814.08
  4. Step 4: Simplify right side
    202,856.95x = 32,693,292,922.65
  5. Step 5: Solve for x
    x = 32,693,292,922.65/202,856.95
  6. Step 6: Final answer
    x = 161,164.27

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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.