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Finding the Fourth Proportional to 136,644, 205,071.84 and 94,817.76

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Solution

The fourth proportional to 136,644, 205,071.84 and 94,817.76 is: 142,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,644 : 205,071.84 = 94,817.76 : x
  2. Step 2: Convert to fraction form
    136,644/205,071.84 = 94,817.76/x
  3. Step 3: Cross multiply
    136,644x = 205,071.84 × 94,817.76
  4. Step 4: Simplify right side
    136,644x = 19,444,452,507.88
  5. Step 5: Solve for x
    x = 19,444,452,507.88/136,644
  6. Step 6: Final answer
    x = 142,300.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.