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Finding the Fourth Proportional to 93,834.70, 140,398.92 and 65,809.46

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Solution

The fourth proportional to 93,834.70, 140,398.92 and 65,809.46 is: 98,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,834.70 : 140,398.92 = 65,809.46 : x
  2. Step 2: Convert to fraction form
    93,834.70/140,398.92 = 65,809.46/x
  3. Step 3: Cross multiply
    93,834.70x = 140,398.92 × 65,809.46
  4. Step 4: Simplify right side
    93,834.70x = 9,239,577,460.78
  5. Step 5: Solve for x
    x = 9,239,577,460.78/93,834.70
  6. Step 6: Final answer
    x = 98,466.53

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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.