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Finding the Fourth Proportional to 277,423.42, 382,844.32 and 150,099.01

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Solution

The fourth proportional to 277,423.42, 382,844.32 and 150,099.01 is: 207,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,423.42 : 382,844.32 = 150,099.01 : x
  2. Step 2: Convert to fraction form
    277,423.42/382,844.32 = 150,099.01/x
  3. Step 3: Cross multiply
    277,423.42x = 382,844.32 × 150,099.01
  4. Step 4: Simplify right side
    277,423.42x = 57,464,553,593.35
  5. Step 5: Solve for x
    x = 57,464,553,593.35/277,423.42
  6. Step 6: Final answer
    x = 207,136.64

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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.