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Finding the Fourth Proportional to 180,083.60, 269,960.28 and 69,192.08

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Solution

The fourth proportional to 180,083.60, 269,960.28 and 69,192.08 is: 103,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,083.60 : 269,960.28 = 69,192.08 : x
  2. Step 2: Convert to fraction form
    180,083.60/269,960.28 = 69,192.08/x
  3. Step 3: Cross multiply
    180,083.60x = 269,960.28 × 69,192.08
  4. Step 4: Simplify right side
    180,083.60x = 18,679,113,290.58
  5. Step 5: Solve for x
    x = 18,679,113,290.58/180,083.60
  6. Step 6: Final answer
    x = 103,724.68

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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.