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Finding the Fourth Proportional to 123,471.99, 185,225.64 and 38,090.07

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Solution

The fourth proportional to 123,471.99, 185,225.64 and 38,090.07 is: 57,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,471.99 : 185,225.64 = 38,090.07 : x
  2. Step 2: Convert to fraction form
    123,471.99/185,225.64 = 38,090.07/x
  3. Step 3: Cross multiply
    123,471.99x = 185,225.64 × 38,090.07
  4. Step 4: Simplify right side
    123,471.99x = 7,055,257,593.39
  5. Step 5: Solve for x
    x = 7,055,257,593.39/123,471.99
  6. Step 6: Final answer
    x = 57,140.55

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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.