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Finding the Fourth Proportional to 277,490.94, 382,938.45 and 150,166.50

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Solution

The fourth proportional to 277,490.94, 382,938.45 and 150,166.50 is: 207,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,490.94 : 382,938.45 = 150,166.50 : x
  2. Step 2: Convert to fraction form
    277,490.94/382,938.45 = 150,166.50/x
  3. Step 3: Cross multiply
    277,490.94x = 382,938.45 × 150,166.50
  4. Step 4: Simplify right side
    277,490.94x = 57,504,526,751.93
  5. Step 5: Solve for x
    x = 57,504,526,751.93/277,490.94
  6. Step 6: Final answer
    x = 207,230.29

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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.