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Finding the Fourth Proportional to 186,975, 280,462.50 and 55,647

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Solution

The fourth proportional to 186,975, 280,462.50 and 55,647 is: 83,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,975 : 280,462.50 = 55,647 : x
  2. Step 2: Convert to fraction form
    186,975/280,462.50 = 55,647/x
  3. Step 3: Cross multiply
    186,975x = 280,462.50 × 55,647
  4. Step 4: Simplify right side
    186,975x = 15,606,896,737.50
  5. Step 5: Solve for x
    x = 15,606,896,737.50/186,975
  6. Step 6: Final answer
    x = 83,470.50

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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.