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Finding the Fourth Proportional to 110,254.83, 165,311.16 and 47,116.14

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Solution

The fourth proportional to 110,254.83, 165,311.16 and 47,116.14 is: 70,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,254.83 : 165,311.16 = 47,116.14 : x
  2. Step 2: Convert to fraction form
    110,254.83/165,311.16 = 47,116.14/x
  3. Step 3: Cross multiply
    110,254.83x = 165,311.16 × 47,116.14
  4. Step 4: Simplify right side
    110,254.83x = 7,788,823,758.12
  5. Step 5: Solve for x
    x = 7,788,823,758.12/110,254.83
  6. Step 6: Final answer
    x = 70,643.83

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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.