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Finding the Fourth Proportional to 230,731.94, 318,410.14 and 127,366.19

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Solution

The fourth proportional to 230,731.94, 318,410.14 and 127,366.19 is: 175,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,731.94 : 318,410.14 = 127,366.19 : x
  2. Step 2: Convert to fraction form
    230,731.94/318,410.14 = 127,366.19/x
  3. Step 3: Cross multiply
    230,731.94x = 318,410.14 × 127,366.19
  4. Step 4: Simplify right side
    230,731.94x = 40,554,686,866.78
  5. Step 5: Solve for x
    x = 40,554,686,866.78/230,731.94
  6. Step 6: Final answer
    x = 175,765.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.