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Finding the Fourth Proportional to 93,838.46, 140,404.54 and 65,813.22

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Solution

The fourth proportional to 93,838.46, 140,404.54 and 65,813.22 is: 98,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,838.46 : 140,404.54 = 65,813.22 : x
  2. Step 2: Convert to fraction form
    93,838.46/140,404.54 = 65,813.22/x
  3. Step 3: Cross multiply
    93,838.46x = 140,404.54 × 65,813.22
  4. Step 4: Simplify right side
    93,838.46x = 9,240,474,880.02
  5. Step 5: Solve for x
    x = 9,240,474,880.02/93,838.46
  6. Step 6: Final answer
    x = 98,472.15

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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.