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Finding the Fourth Proportional to 277,225.84, 382,571.88 and 149,901.52

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Solution

The fourth proportional to 277,225.84, 382,571.88 and 149,901.52 is: 206,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,225.84 : 382,571.88 = 149,901.52 : x
  2. Step 2: Convert to fraction form
    277,225.84/382,571.88 = 149,901.52/x
  3. Step 3: Cross multiply
    277,225.84x = 382,571.88 × 149,901.52
  4. Step 4: Simplify right side
    277,225.84x = 57,348,106,321.26
  5. Step 5: Solve for x
    x = 57,348,106,321.26/277,225.84
  6. Step 6: Final answer
    x = 206,864.22

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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.