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Finding the Fourth Proportional to 104,706, 156,905.64 and 65,142.72

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Solution

The fourth proportional to 104,706, 156,905.64 and 65,142.72 is: 97,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,706 : 156,905.64 = 65,142.72 : x
  2. Step 2: Convert to fraction form
    104,706/156,905.64 = 65,142.72/x
  3. Step 3: Cross multiply
    104,706x = 156,905.64 × 65,142.72
  4. Step 4: Simplify right side
    104,706x = 10,221,260,172.94
  5. Step 5: Solve for x
    x = 10,221,260,172.94/104,706
  6. Step 6: Final answer
    x = 97,618.67

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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.