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Finding the Fourth Proportional to 277,489.94, 382,937.07 and 150,165.50

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Solution

The fourth proportional to 277,489.94, 382,937.07 and 150,165.50 is: 207,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.94 : 382,937.07 = 150,165.50 : x
  2. Step 2: Convert to fraction form
    277,489.94/382,937.07 = 150,165.50/x
  3. Step 3: Cross multiply
    277,489.94x = 382,937.07 × 150,165.50
  4. Step 4: Simplify right side
    277,489.94x = 57,503,934,670.40
  5. Step 5: Solve for x
    x = 57,503,934,670.40/277,489.94
  6. Step 6: Final answer
    x = 207,228.90

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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.