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Finding the Fourth Proportional to 106,904.90, 160,314.15 and 36,748.10

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Solution

The fourth proportional to 106,904.90, 160,314.15 and 36,748.10 is: 55,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,904.90 : 160,314.15 = 36,748.10 : x
  2. Step 2: Convert to fraction form
    106,904.90/160,314.15 = 36,748.10/x
  3. Step 3: Cross multiply
    106,904.90x = 160,314.15 × 36,748.10
  4. Step 4: Simplify right side
    106,904.90x = 5,891,240,415.62
  5. Step 5: Solve for x
    x = 5,891,240,415.62/106,904.90
  6. Step 6: Final answer
    x = 55,107.30

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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.