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Finding the Fourth Proportional to 186,894.11, 280,384.10 and 53,775.47

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Solution

The fourth proportional to 186,894.11, 280,384.10 and 53,775.47 is: 80,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,894.11 : 280,384.10 = 53,775.47 : x
  2. Step 2: Convert to fraction form
    186,894.11/280,384.10 = 53,775.47/x
  3. Step 3: Cross multiply
    186,894.11x = 280,384.10 × 53,775.47
  4. Step 4: Simplify right side
    186,894.11x = 15,077,787,391.77
  5. Step 5: Solve for x
    x = 15,077,787,391.77/186,894.11
  6. Step 6: Final answer
    x = 80,675.56

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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.