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Finding the Fourth Proportional to 186,998.46, 280,497.66 and 46,757.08

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Solution

The fourth proportional to 186,998.46, 280,497.66 and 46,757.08 is: 70,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,998.46 : 280,497.66 = 46,757.08 : x
  2. Step 2: Convert to fraction form
    186,998.46/280,497.66 = 46,757.08/x
  3. Step 3: Cross multiply
    186,998.46x = 280,497.66 × 46,757.08
  4. Step 4: Simplify right side
    186,998.46x = 13,115,251,528.43
  5. Step 5: Solve for x
    x = 13,115,251,528.43/186,998.46
  6. Step 6: Final answer
    x = 70,135.61

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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.