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Finding the Fourth Proportional to 109,705.40, 164,558.10 and 97,724.60

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Solution

The fourth proportional to 109,705.40, 164,558.10 and 97,724.60 is: 146,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705.40 : 164,558.10 = 97,724.60 : x
  2. Step 2: Convert to fraction form
    109,705.40/164,558.10 = 97,724.60/x
  3. Step 3: Cross multiply
    109,705.40x = 164,558.10 × 97,724.60
  4. Step 4: Simplify right side
    109,705.40x = 16,081,374,499.26
  5. Step 5: Solve for x
    x = 16,081,374,499.26/109,705.40
  6. Step 6: Final answer
    x = 146,586.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.