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Finding the Fourth Proportional to 109,958.20, 164,742.90 and 97,516.60

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Solution

The fourth proportional to 109,958.20, 164,742.90 and 97,516.60 is: 146,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,958.20 : 164,742.90 = 97,516.60 : x
  2. Step 2: Convert to fraction form
    109,958.20/164,742.90 = 97,516.60/x
  3. Step 3: Cross multiply
    109,958.20x = 164,742.90 × 97,516.60
  4. Step 4: Simplify right side
    109,958.20x = 16,065,167,482.14
  5. Step 5: Solve for x
    x = 16,065,167,482.14/109,958.20
  6. Step 6: Final answer
    x = 146,102.50

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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.