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Finding the Fourth Proportional to 189,097.80, 283,646.70 and 83,927.40

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Solution

The fourth proportional to 189,097.80, 283,646.70 and 83,927.40 is: 125,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,097.80 : 283,646.70 = 83,927.40 : x
  2. Step 2: Convert to fraction form
    189,097.80/283,646.70 = 83,927.40/x
  3. Step 3: Cross multiply
    189,097.80x = 283,646.70 × 83,927.40
  4. Step 4: Simplify right side
    189,097.80x = 23,805,730,049.58
  5. Step 5: Solve for x
    x = 23,805,730,049.58/189,097.80
  6. Step 6: Final answer
    x = 125,891.10

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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.