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Finding the Fourth Proportional to 277,710.81, 382,977.65 and 191,532.07

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Solution

The fourth proportional to 277,710.81, 382,977.65 and 191,532.07 is: 264,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,710.81 : 382,977.65 = 191,532.07 : x
  2. Step 2: Convert to fraction form
    277,710.81/382,977.65 = 191,532.07/x
  3. Step 3: Cross multiply
    277,710.81x = 382,977.65 × 191,532.07
  4. Step 4: Simplify right side
    277,710.81x = 73,352,503,025.79
  5. Step 5: Solve for x
    x = 73,352,503,025.79/277,710.81
  6. Step 6: Final answer
    x = 264,132.69

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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.