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Finding the Fourth Proportional to 186,871.59, 280,684.71 and 112,133.70

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Solution

The fourth proportional to 186,871.59, 280,684.71 and 112,133.70 is: 168,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,871.59 : 280,684.71 = 112,133.70 : x
  2. Step 2: Convert to fraction form
    186,871.59/280,684.71 = 112,133.70/x
  3. Step 3: Cross multiply
    186,871.59x = 280,684.71 × 112,133.70
  4. Step 4: Simplify right side
    186,871.59x = 31,474,215,065.73
  5. Step 5: Solve for x
    x = 31,474,215,065.73/186,871.59
  6. Step 6: Final answer
    x = 168,426.97

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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.