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Finding the Fourth Proportional to 104,696.16, 156,984.72 and 71,456.50

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Solution

The fourth proportional to 104,696.16, 156,984.72 and 71,456.50 is: 107,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,696.16 : 156,984.72 = 71,456.50 : x
  2. Step 2: Convert to fraction form
    104,696.16/156,984.72 = 71,456.50/x
  3. Step 3: Cross multiply
    104,696.16x = 156,984.72 × 71,456.50
  4. Step 4: Simplify right side
    104,696.16x = 11,217,578,644.68
  5. Step 5: Solve for x
    x = 11,217,578,644.68/104,696.16
  6. Step 6: Final answer
    x = 107,144.13

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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.