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Finding the Fourth Proportional to 201,859.08, 278,566.38 and 115,821.48

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Solution

The fourth proportional to 201,859.08, 278,566.38 and 115,821.48 is: 159,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859.08 : 278,566.38 = 115,821.48 : x
  2. Step 2: Convert to fraction form
    201,859.08/278,566.38 = 115,821.48/x
  3. Step 3: Cross multiply
    201,859.08x = 278,566.38 × 115,821.48
  4. Step 4: Simplify right side
    201,859.08x = 32,263,970,409.84
  5. Step 5: Solve for x
    x = 32,263,970,409.84/201,859.08
  6. Step 6: Final answer
    x = 159,834.13

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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.