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Finding the Fourth Proportional to 109,657.15, 164,358.15 and 50,498.80

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Solution

The fourth proportional to 109,657.15, 164,358.15 and 50,498.80 is: 75,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657.15 : 164,358.15 = 50,498.80 : x
  2. Step 2: Convert to fraction form
    109,657.15/164,358.15 = 50,498.80/x
  3. Step 3: Cross multiply
    109,657.15x = 164,358.15 × 50,498.80
  4. Step 4: Simplify right side
    109,657.15x = 8,299,889,345.22
  5. Step 5: Solve for x
    x = 8,299,889,345.22/109,657.15
  6. Step 6: Final answer
    x = 75,689.45

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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.