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Finding the Fourth Proportional to 277,362, 382,757.28 and 150,037.92

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Solution

The fourth proportional to 277,362, 382,757.28 and 150,037.92 is: 207,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,362 : 382,757.28 = 150,037.92 : x
  2. Step 2: Convert to fraction form
    277,362/382,757.28 = 150,037.92/x
  3. Step 3: Cross multiply
    277,362x = 382,757.28 × 150,037.92
  4. Step 4: Simplify right side
    277,362x = 57,428,106,156.06
  5. Step 5: Solve for x
    x = 57,428,106,156.06/277,362
  6. Step 6: Final answer
    x = 207,051.10

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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.