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Finding the Fourth Proportional to 201,809.25, 278,529.57 and 116,975.52

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Solution

The fourth proportional to 201,809.25, 278,529.57 and 116,975.52 is: 161,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.25 : 278,529.57 = 116,975.52 : x
  2. Step 2: Convert to fraction form
    201,809.25/278,529.57 = 116,975.52/x
  3. Step 3: Cross multiply
    201,809.25x = 278,529.57 × 116,975.52
  4. Step 4: Simplify right side
    201,809.25x = 32,581,141,286.13
  5. Step 5: Solve for x
    x = 32,581,141,286.13/201,809.25
  6. Step 6: Final answer
    x = 161,445.23

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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.