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Finding the Fourth Proportional to 204,851, 282,695.60 and 114,212.68

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Solution

The fourth proportional to 204,851, 282,695.60 and 114,212.68 is: 157,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,851 : 282,695.60 = 114,212.68 : x
  2. Step 2: Convert to fraction form
    204,851/282,695.60 = 114,212.68/x
  3. Step 3: Cross multiply
    204,851x = 282,695.60 × 114,212.68
  4. Step 4: Simplify right side
    204,851x = 32,287,422,100.21
  5. Step 5: Solve for x
    x = 32,287,422,100.21/204,851
  6. Step 6: Final answer
    x = 157,614.18

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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.