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Finding the Fourth Proportional to 204,691.95, 282,495.69 and 114,062.67

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Solution

The fourth proportional to 204,691.95, 282,495.69 and 114,062.67 is: 157,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,691.95 : 282,495.69 = 114,062.67 : x
  2. Step 2: Convert to fraction form
    204,691.95/282,495.69 = 114,062.67/x
  3. Step 3: Cross multiply
    204,691.95x = 282,495.69 × 114,062.67
  4. Step 4: Simplify right side
    204,691.95x = 32,222,212,664.89
  5. Step 5: Solve for x
    x = 32,222,212,664.89/204,691.95
  6. Step 6: Final answer
    x = 157,418.07

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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.