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Finding the Fourth Proportional to 193,104.30, 266,499.64 and 107,071.82

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Solution

The fourth proportional to 193,104.30, 266,499.64 and 107,071.82 is: 147,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,104.30 : 266,499.64 = 107,071.82 : x
  2. Step 2: Convert to fraction form
    193,104.30/266,499.64 = 107,071.82/x
  3. Step 3: Cross multiply
    193,104.30x = 266,499.64 × 107,071.82
  4. Step 4: Simplify right side
    193,104.30x = 28,534,601,484.14
  5. Step 5: Solve for x
    x = 28,534,601,484.14/193,104.30
  6. Step 6: Final answer
    x = 147,767.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.