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Finding the Fourth Proportional to 277,209.96, 382,549.50 and 149,885.28

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Solution

The fourth proportional to 277,209.96, 382,549.50 and 149,885.28 is: 206,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,209.96 : 382,549.50 = 149,885.28 : x
  2. Step 2: Convert to fraction form
    277,209.96/382,549.50 = 149,885.28/x
  3. Step 3: Cross multiply
    277,209.96x = 382,549.50 × 149,885.28
  4. Step 4: Simplify right side
    277,209.96x = 57,338,538,921.36
  5. Step 5: Solve for x
    x = 57,338,538,921.36/277,209.96
  6. Step 6: Final answer
    x = 206,841.55

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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.