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Finding the Fourth Proportional to 136,097.64, 204,193.29 and 61,270.32

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Solution

The fourth proportional to 136,097.64, 204,193.29 and 61,270.32 is: 91,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,097.64 : 204,193.29 = 61,270.32 : x
  2. Step 2: Convert to fraction form
    136,097.64/204,193.29 = 61,270.32/x
  3. Step 3: Cross multiply
    136,097.64x = 204,193.29 × 61,270.32
  4. Step 4: Simplify right side
    136,097.64x = 12,510,988,220.15
  5. Step 5: Solve for x
    x = 12,510,988,220.15/136,097.64
  6. Step 6: Final answer
    x = 91,926.56

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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.