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Finding the Fourth Proportional to 101,830.14, 152,459.64 and 76,791.42

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Solution

The fourth proportional to 101,830.14, 152,459.64 and 76,791.42 is: 114,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,830.14 : 152,459.64 = 76,791.42 : x
  2. Step 2: Convert to fraction form
    101,830.14/152,459.64 = 76,791.42/x
  3. Step 3: Cross multiply
    101,830.14x = 152,459.64 × 76,791.42
  4. Step 4: Simplify right side
    101,830.14x = 11,707,592,248.29
  5. Step 5: Solve for x
    x = 11,707,592,248.29/101,830.14
  6. Step 6: Final answer
    x = 114,971.78

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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.