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Finding the Fourth Proportional to 277,851.32, 383,432.70 and 150,526

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Solution

The fourth proportional to 277,851.32, 383,432.70 and 150,526 is: 207,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,851.32 : 383,432.70 = 150,526 : x
  2. Step 2: Convert to fraction form
    277,851.32/383,432.70 = 150,526/x
  3. Step 3: Cross multiply
    277,851.32x = 383,432.70 × 150,526
  4. Step 4: Simplify right side
    277,851.32x = 57,716,590,600.20
  5. Step 5: Solve for x
    x = 57,716,590,600.20/277,851.32
  6. Step 6: Final answer
    x = 207,724.73

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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.