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Finding the Fourth Proportional to 186,643.62, 280,081.53 and 75,835.62

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Solution

The fourth proportional to 186,643.62, 280,081.53 and 75,835.62 is: 113,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,643.62 : 280,081.53 = 75,835.62 : x
  2. Step 2: Convert to fraction form
    186,643.62/280,081.53 = 75,835.62/x
  3. Step 3: Cross multiply
    186,643.62x = 280,081.53 × 75,835.62
  4. Step 4: Simplify right side
    186,643.62x = 21,240,156,478.10
  5. Step 5: Solve for x
    x = 21,240,156,478.10/186,643.62
  6. Step 6: Final answer
    x = 113,800.60

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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.