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Finding the Fourth Proportional to 186,919.42, 280,309.86 and 66,957.68

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Solution

The fourth proportional to 186,919.42, 280,309.86 and 66,957.68 is: 100,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,919.42 : 280,309.86 = 66,957.68 : x
  2. Step 2: Convert to fraction form
    186,919.42/280,309.86 = 66,957.68/x
  3. Step 3: Cross multiply
    186,919.42x = 280,309.86 × 66,957.68
  4. Step 4: Simplify right side
    186,919.42x = 18,768,896,505.18
  5. Step 5: Solve for x
    x = 18,768,896,505.18/186,919.42
  6. Step 6: Final answer
    x = 100,411.70

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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.