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Finding the Fourth Proportional to 180,007.80, 269,795.70 and 74,772.60

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Solution

The fourth proportional to 180,007.80, 269,795.70 and 74,772.60 is: 112,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,007.80 : 269,795.70 = 74,772.60 : x
  2. Step 2: Convert to fraction form
    180,007.80/269,795.70 = 74,772.60/x
  3. Step 3: Cross multiply
    180,007.80x = 269,795.70 × 74,772.60
  4. Step 4: Simplify right side
    180,007.80x = 20,173,325,957.82
  5. Step 5: Solve for x
    x = 20,173,325,957.82/180,007.80
  6. Step 6: Final answer
    x = 112,069.18

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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.