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Finding the Fourth Proportional to 277,247.66, 382,602.51 and 149,923.31

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Solution

The fourth proportional to 277,247.66, 382,602.51 and 149,923.31 is: 206,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,247.66 : 382,602.51 = 149,923.31 : x
  2. Step 2: Convert to fraction form
    277,247.66/382,602.51 = 149,923.31/x
  3. Step 3: Cross multiply
    277,247.66x = 382,602.51 × 149,923.31
  4. Step 4: Simplify right side
    277,247.66x = 57,361,032,800.50
  5. Step 5: Solve for x
    x = 57,361,032,800.50/277,247.66
  6. Step 6: Final answer
    x = 206,894.56

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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.