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Finding the Fourth Proportional to 202,582.80, 279,507.36 and 116,537.28

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Solution

The fourth proportional to 202,582.80, 279,507.36 and 116,537.28 is: 160,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,582.80 : 279,507.36 = 116,537.28 : x
  2. Step 2: Convert to fraction form
    202,582.80/279,507.36 = 116,537.28/x
  3. Step 3: Cross multiply
    202,582.80x = 279,507.36 × 116,537.28
  4. Step 4: Simplify right side
    202,582.80x = 32,573,027,474.38
  5. Step 5: Solve for x
    x = 32,573,027,474.38/202,582.80
  6. Step 6: Final answer
    x = 160,788.71

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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.