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Finding the Fourth Proportional to 354,170.21, 531,098.57 and 101,393.10

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Solution

The fourth proportional to 354,170.21, 531,098.57 and 101,393.10 is: 152,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,170.21 : 531,098.57 = 101,393.10 : x
  2. Step 2: Convert to fraction form
    354,170.21/531,098.57 = 101,393.10/x
  3. Step 3: Cross multiply
    354,170.21x = 531,098.57 × 101,393.10
  4. Step 4: Simplify right side
    354,170.21x = 53,849,731,745.61
  5. Step 5: Solve for x
    x = 53,849,731,745.61/354,170.21
  6. Step 6: Final answer
    x = 152,044.78

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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.