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Finding the Fourth Proportional to 186,782.84, 280,210.26 and 60,454.44

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Solution

The fourth proportional to 186,782.84, 280,210.26 and 60,454.44 is: 90,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,782.84 : 280,210.26 = 60,454.44 : x
  2. Step 2: Convert to fraction form
    186,782.84/280,210.26 = 60,454.44/x
  3. Step 3: Cross multiply
    186,782.84x = 280,210.26 × 60,454.44
  4. Step 4: Simplify right side
    186,782.84x = 16,939,954,350.55
  5. Step 5: Solve for x
    x = 16,939,954,350.55/186,782.84
  6. Step 6: Final answer
    x = 90,693.31

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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.