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Finding the Fourth Proportional to 200,823.48, 277,053.42 and 115,880.28

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Solution

The fourth proportional to 200,823.48, 277,053.42 and 115,880.28 is: 159,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,823.48 : 277,053.42 = 115,880.28 : x
  2. Step 2: Convert to fraction form
    200,823.48/277,053.42 = 115,880.28/x
  3. Step 3: Cross multiply
    200,823.48x = 277,053.42 × 115,880.28
  4. Step 4: Simplify right side
    200,823.48x = 32,105,027,884.56
  5. Step 5: Solve for x
    x = 32,105,027,884.56/200,823.48
  6. Step 6: Final answer
    x = 159,866.90

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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.