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Finding the Fourth Proportional to 338,149.25, 507,301.63 and 101,496.41

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Solution

The fourth proportional to 338,149.25, 507,301.63 and 101,496.41 is: 152,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,149.25 : 507,301.63 = 101,496.41 : x
  2. Step 2: Convert to fraction form
    338,149.25/507,301.63 = 101,496.41/x
  3. Step 3: Cross multiply
    338,149.25x = 507,301.63 × 101,496.41
  4. Step 4: Simplify right side
    338,149.25x = 51,489,293,915.20
  5. Step 5: Solve for x
    x = 51,489,293,915.20/338,149.25
  6. Step 6: Final answer
    x = 152,267.95

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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.