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Finding the Fourth Proportional to 136,097.76, 204,188.15 and 69,584.61

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Solution

The fourth proportional to 136,097.76, 204,188.15 and 69,584.61 is: 104,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,097.76 : 204,188.15 = 69,584.61 : x
  2. Step 2: Convert to fraction form
    136,097.76/204,188.15 = 69,584.61/x
  3. Step 3: Cross multiply
    136,097.76x = 204,188.15 × 69,584.61
  4. Step 4: Simplify right side
    136,097.76x = 14,208,352,436.45
  5. Step 5: Solve for x
    x = 14,208,352,436.45/136,097.76
  6. Step 6: Final answer
    x = 104,398.14

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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.