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Finding the Fourth Proportional to 109,628.60, 164,114.85 and 97,818.80

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Solution

The fourth proportional to 109,628.60, 164,114.85 and 97,818.80 is: 146,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,628.60 : 164,114.85 = 97,818.80 : x
  2. Step 2: Convert to fraction form
    109,628.60/164,114.85 = 97,818.80/x
  3. Step 3: Cross multiply
    109,628.60x = 164,114.85 × 97,818.80
  4. Step 4: Simplify right side
    109,628.60x = 16,053,517,689.18
  5. Step 5: Solve for x
    x = 16,053,517,689.18/109,628.60
  6. Step 6: Final answer
    x = 146,435.49

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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.