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Finding the Fourth Proportional to 314,882.21, 472,205.77 and 101,596.56

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Solution

The fourth proportional to 314,882.21, 472,205.77 and 101,596.56 is: 152,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,882.21 : 472,205.77 = 101,596.56 : x
  2. Step 2: Convert to fraction form
    314,882.21/472,205.77 = 101,596.56/x
  3. Step 3: Cross multiply
    314,882.21x = 472,205.77 × 101,596.56
  4. Step 4: Simplify right side
    314,882.21x = 47,974,479,819.39
  5. Step 5: Solve for x
    x = 47,974,479,819.39/314,882.21
  6. Step 6: Final answer
    x = 152,356.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.