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Finding the Fourth Proportional to 338,170.23, 507,264.66 and 101,512.98

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Solution

The fourth proportional to 338,170.23, 507,264.66 and 101,512.98 is: 152,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,170.23 : 507,264.66 = 101,512.98 : x
  2. Step 2: Convert to fraction form
    338,170.23/507,264.66 = 101,512.98/x
  3. Step 3: Cross multiply
    338,170.23x = 507,264.66 × 101,512.98
  4. Step 4: Simplify right side
    338,170.23x = 51,493,947,285.29
  5. Step 5: Solve for x
    x = 51,493,947,285.29/338,170.23
  6. Step 6: Final answer
    x = 152,272.27

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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.