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Finding the Fourth Proportional to 200,795.46, 277,095.16 and 114,753.48

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Solution

The fourth proportional to 200,795.46, 277,095.16 and 114,753.48 is: 158,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,795.46 : 277,095.16 = 114,753.48 : x
  2. Step 2: Convert to fraction form
    200,795.46/277,095.16 = 114,753.48/x
  3. Step 3: Cross multiply
    200,795.46x = 277,095.16 × 114,753.48
  4. Step 4: Simplify right side
    200,795.46x = 31,797,633,901.16
  5. Step 5: Solve for x
    x = 31,797,633,901.16/200,795.46
  6. Step 6: Final answer
    x = 158,358.33

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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.