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Finding the Fourth Proportional to 277,468.88, 382,907.72 and 150,145.84

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Solution

The fourth proportional to 277,468.88, 382,907.72 and 150,145.84 is: 207,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,468.88 : 382,907.72 = 150,145.84 : x
  2. Step 2: Convert to fraction form
    277,468.88/382,907.72 = 150,145.84/x
  3. Step 3: Cross multiply
    277,468.88x = 382,907.72 × 150,145.84
  4. Step 4: Simplify right side
    277,468.88x = 57,492,001,261.88
  5. Step 5: Solve for x
    x = 57,492,001,261.88/277,468.88
  6. Step 6: Final answer
    x = 207,201.62

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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.