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Finding the Fourth Proportional to 109,626.60, 164,111.85 and 97,816.80

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Solution

The fourth proportional to 109,626.60, 164,111.85 and 97,816.80 is: 146,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,626.60 : 164,111.85 = 97,816.80 : x
  2. Step 2: Convert to fraction form
    109,626.60/164,111.85 = 97,816.80/x
  3. Step 3: Cross multiply
    109,626.60x = 164,111.85 × 97,816.80
  4. Step 4: Simplify right side
    109,626.60x = 16,052,896,009.08
  5. Step 5: Solve for x
    x = 16,052,896,009.08/109,626.60
  6. Step 6: Final answer
    x = 146,432.49

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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.