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Finding the Fourth Proportional to 114,206.60, 157,578.54 and 66,432.80

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Solution

The fourth proportional to 114,206.60, 157,578.54 and 66,432.80 is: 91,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,206.60 : 157,578.54 = 66,432.80 : x
  2. Step 2: Convert to fraction form
    114,206.60/157,578.54 = 66,432.80/x
  3. Step 3: Cross multiply
    114,206.60x = 157,578.54 × 66,432.80
  4. Step 4: Simplify right side
    114,206.60x = 10,468,383,632.11
  5. Step 5: Solve for x
    x = 10,468,383,632.11/114,206.60
  6. Step 6: Final answer
    x = 91,661.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.