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Finding the Fourth Proportional to 109,164.87, 163,746.50 and 34,284.87

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Solution

The fourth proportional to 109,164.87, 163,746.50 and 34,284.87 is: 51,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,164.87 : 163,746.50 = 34,284.87 : x
  2. Step 2: Convert to fraction form
    109,164.87/163,746.50 = 34,284.87/x
  3. Step 3: Cross multiply
    109,164.87x = 163,746.50 × 34,284.87
  4. Step 4: Simplify right side
    109,164.87x = 5,614,027,294.03
  5. Step 5: Solve for x
    x = 5,614,027,294.03/109,164.87
  6. Step 6: Final answer
    x = 51,427.05

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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.