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Finding the Fourth Proportional to 93,461.46, 140,265.43 and 65,197.67

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Solution

The fourth proportional to 93,461.46, 140,265.43 and 65,197.67 is: 97,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,461.46 : 140,265.43 = 65,197.67 : x
  2. Step 2: Convert to fraction form
    93,461.46/140,265.43 = 65,197.67/x
  3. Step 3: Cross multiply
    93,461.46x = 140,265.43 × 65,197.67
  4. Step 4: Simplify right side
    93,461.46x = 9,144,979,217.55
  5. Step 5: Solve for x
    x = 9,144,979,217.55/93,461.46
  6. Step 6: Final answer
    x = 97,847.60

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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.