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Finding the Fourth Proportional to 277,466.64, 382,904.97 and 150,142.23

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Solution

The fourth proportional to 277,466.64, 382,904.97 and 150,142.23 is: 207,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,466.64 : 382,904.97 = 150,142.23 : x
  2. Step 2: Convert to fraction form
    277,466.64/382,904.97 = 150,142.23/x
  3. Step 3: Cross multiply
    277,466.64x = 382,904.97 × 150,142.23
  4. Step 4: Simplify right side
    277,466.64x = 57,490,206,073.88
  5. Step 5: Solve for x
    x = 57,490,206,073.88/277,466.64
  6. Step 6: Final answer
    x = 207,196.82

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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.