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Finding the Fourth Proportional to 93,850.10, 140,421.98 and 65,824.84

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Solution

The fourth proportional to 93,850.10, 140,421.98 and 65,824.84 is: 98,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,850.10 : 140,421.98 = 65,824.84 : x
  2. Step 2: Convert to fraction form
    93,850.10/140,421.98 = 65,824.84/x
  3. Step 3: Cross multiply
    93,850.10x = 140,421.98 × 65,824.84
  4. Step 4: Simplify right side
    93,850.10x = 9,243,254,179.49
  5. Step 5: Solve for x
    x = 9,243,254,179.49/93,850.10
  6. Step 6: Final answer
    x = 98,489.56

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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.