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Finding the Fourth Proportional to 109,616.68, 164,275.98 and 56,917

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Solution

The fourth proportional to 109,616.68, 164,275.98 and 56,917 is: 85,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,616.68 : 164,275.98 = 56,917 : x
  2. Step 2: Convert to fraction form
    109,616.68/164,275.98 = 56,917/x
  3. Step 3: Cross multiply
    109,616.68x = 164,275.98 × 56,917
  4. Step 4: Simplify right side
    109,616.68x = 9,350,095,953.66
  5. Step 5: Solve for x
    x = 9,350,095,953.66/109,616.68
  6. Step 6: Final answer
    x = 85,298.11

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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.