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Finding the Fourth Proportional to 338,105.43, 507,207.60 and 101,466.81

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Solution

The fourth proportional to 338,105.43, 507,207.60 and 101,466.81 is: 152,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,105.43 : 507,207.60 = 101,466.81 : x
  2. Step 2: Convert to fraction form
    338,105.43/507,207.60 = 101,466.81/x
  3. Step 3: Cross multiply
    338,105.43x = 507,207.60 × 101,466.81
  4. Step 4: Simplify right side
    338,105.43x = 51,464,737,179.76
  5. Step 5: Solve for x
    x = 51,464,737,179.76/338,105.43
  6. Step 6: Final answer
    x = 152,215.06

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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.