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Finding the Fourth Proportional to 109,406.40, 164,109.60 and 97,596.60

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Solution

The fourth proportional to 109,406.40, 164,109.60 and 97,596.60 is: 146,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,406.40 : 164,109.60 = 97,596.60 : x
  2. Step 2: Convert to fraction form
    109,406.40/164,109.60 = 97,596.60/x
  3. Step 3: Cross multiply
    109,406.40x = 164,109.60 × 97,596.60
  4. Step 4: Simplify right side
    109,406.40x = 16,016,538,987.36
  5. Step 5: Solve for x
    x = 16,016,538,987.36/109,406.40
  6. Step 6: Final answer
    x = 146,394.90

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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.