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Finding the Fourth Proportional to 201,155.86, 277,594.02 and 109,274.43

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Solution

The fourth proportional to 201,155.86, 277,594.02 and 109,274.43 is: 150,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,155.86 : 277,594.02 = 109,274.43 : x
  2. Step 2: Convert to fraction form
    201,155.86/277,594.02 = 109,274.43/x
  3. Step 3: Cross multiply
    201,155.86x = 277,594.02 × 109,274.43
  4. Step 4: Simplify right side
    201,155.86x = 30,333,928,306.91
  5. Step 5: Solve for x
    x = 30,333,928,306.91/201,155.86
  6. Step 6: Final answer
    x = 150,798.13

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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.