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Finding the Fourth Proportional to 189,040.80, 283,690.80 and 83,935.20

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Solution

The fourth proportional to 189,040.80, 283,690.80 and 83,935.20 is: 125,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,040.80 : 283,690.80 = 83,935.20 : x
  2. Step 2: Convert to fraction form
    189,040.80/283,690.80 = 83,935.20/x
  3. Step 3: Cross multiply
    189,040.80x = 283,690.80 × 83,935.20
  4. Step 4: Simplify right side
    189,040.80x = 23,811,644,036.16
  5. Step 5: Solve for x
    x = 23,811,644,036.16/189,040.80
  6. Step 6: Final answer
    x = 125,960.34

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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.