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Finding the Fourth Proportional to 664,734.50, 997,101.76 and 166,098.50

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Solution

The fourth proportional to 664,734.50, 997,101.76 and 166,098.50 is: 249,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,734.50 : 997,101.76 = 166,098.50 : x
  2. Step 2: Convert to fraction form
    664,734.50/997,101.76 = 166,098.50/x
  3. Step 3: Cross multiply
    664,734.50x = 997,101.76 × 166,098.50
  4. Step 4: Simplify right side
    664,734.50x = 165,617,106,683.36
  5. Step 5: Solve for x
    x = 165,617,106,683.36/664,734.50
  6. Step 6: Final answer
    x = 249,147.75

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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.