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Finding the Fourth Proportional to 462,099, 693,148.50 and 166,611

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Solution

The fourth proportional to 462,099, 693,148.50 and 166,611 is: 249,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,099 : 693,148.50 = 166,611 : x
  2. Step 2: Convert to fraction form
    462,099/693,148.50 = 166,611/x
  3. Step 3: Cross multiply
    462,099x = 693,148.50 × 166,611
  4. Step 4: Simplify right side
    462,099x = 115,486,164,733.50
  5. Step 5: Solve for x
    x = 115,486,164,733.50/462,099
  6. Step 6: Final answer
    x = 249,916.50

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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.