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Finding the Fourth Proportional to 338,887.80, 507,977.02 and 114,170.58

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Solution

The fourth proportional to 338,887.80, 507,977.02 and 114,170.58 is: 171,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,887.80 : 507,977.02 = 114,170.58 : x
  2. Step 2: Convert to fraction form
    338,887.80/507,977.02 = 114,170.58/x
  3. Step 3: Cross multiply
    338,887.80x = 507,977.02 × 114,170.58
  4. Step 4: Simplify right side
    338,887.80x = 57,996,031,142.78
  5. Step 5: Solve for x
    x = 57,996,031,142.78/338,887.80
  6. Step 6: Final answer
    x = 171,136.38

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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.