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Finding the Fourth Proportional to 277,843.16, 383,423.63 and 163,099.17

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Solution

The fourth proportional to 277,843.16, 383,423.63 and 163,099.17 is: 225,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,843.16 : 383,423.63 = 163,099.17 : x
  2. Step 2: Convert to fraction form
    277,843.16/383,423.63 = 163,099.17/x
  3. Step 3: Cross multiply
    277,843.16x = 383,423.63 × 163,099.17
  4. Step 4: Simplify right side
    277,843.16x = 62,536,074,995.89
  5. Step 5: Solve for x
    x = 62,536,074,995.89/277,843.16
  6. Step 6: Final answer
    x = 225,076.89

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1.5x scale

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.