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Finding the Fourth Proportional to 204,378.63, 282,362.47 and 156,149.38

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Solution

The fourth proportional to 204,378.63, 282,362.47 and 156,149.38 is: 215,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,378.63 : 282,362.47 = 156,149.38 : x
  2. Step 2: Convert to fraction form
    204,378.63/282,362.47 = 156,149.38/x
  3. Step 3: Cross multiply
    204,378.63x = 282,362.47 × 156,149.38
  4. Step 4: Simplify right side
    204,378.63x = 44,090,724,625.77
  5. Step 5: Solve for x
    x = 44,090,724,625.77/204,378.63
  6. Step 6: Final answer
    x = 215,730.60

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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.