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Finding the Fourth Proportional to 277,711.93, 382,979.21 and 191,533.20

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Solution

The fourth proportional to 277,711.93, 382,979.21 and 191,533.20 is: 264,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,711.93 : 382,979.21 = 191,533.20 : x
  2. Step 2: Convert to fraction form
    277,711.93/382,979.21 = 191,533.20/x
  3. Step 3: Cross multiply
    277,711.93x = 382,979.21 × 191,533.20
  4. Step 4: Simplify right side
    277,711.93x = 73,353,231,230.93
  5. Step 5: Solve for x
    x = 73,353,231,230.93/277,711.93
  6. Step 6: Final answer
    x = 264,134.24

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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.