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Finding the Fourth Proportional to 118,223.20, 177,334.80 and 91,784.80

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Solution

The fourth proportional to 118,223.20, 177,334.80 and 91,784.80 is: 137,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,223.20 : 177,334.80 = 91,784.80 : x
  2. Step 2: Convert to fraction form
    118,223.20/177,334.80 = 91,784.80/x
  3. Step 3: Cross multiply
    118,223.20x = 177,334.80 × 91,784.80
  4. Step 4: Simplify right side
    118,223.20x = 16,276,639,151.04
  5. Step 5: Solve for x
    x = 16,276,639,151.04/118,223.20
  6. Step 6: Final answer
    x = 137,677.20

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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.