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Finding the Fourth Proportional to 123,707.44, 185,409.15 and 57,055.06

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Solution

The fourth proportional to 123,707.44, 185,409.15 and 57,055.06 is: 85,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,707.44 : 185,409.15 = 57,055.06 : x
  2. Step 2: Convert to fraction form
    123,707.44/185,409.15 = 57,055.06/x
  3. Step 3: Cross multiply
    123,707.44x = 185,409.15 × 57,055.06
  4. Step 4: Simplify right side
    123,707.44x = 10,578,530,177.80
  5. Step 5: Solve for x
    x = 10,578,530,177.80/123,707.44
  6. Step 6: Final answer
    x = 85,512.48

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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.