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Finding the Fourth Proportional to 202,801.86, 279,887.30 and 116,764.07

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Solution

The fourth proportional to 202,801.86, 279,887.30 and 116,764.07 is: 161,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,801.86 : 279,887.30 = 116,764.07 : x
  2. Step 2: Convert to fraction form
    202,801.86/279,887.30 = 116,764.07/x
  3. Step 3: Cross multiply
    202,801.86x = 279,887.30 × 116,764.07
  4. Step 4: Simplify right side
    202,801.86x = 32,680,778,743.92
  5. Step 5: Solve for x
    x = 32,680,778,743.92/202,801.86
  6. Step 6: Final answer
    x = 161,146.35

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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.