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Finding the Fourth Proportional to 104,496.24, 156,946.05 and 89,537.16

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Solution

The fourth proportional to 104,496.24, 156,946.05 and 89,537.16 is: 134,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,496.24 : 156,946.05 = 89,537.16 : x
  2. Step 2: Convert to fraction form
    104,496.24/156,946.05 = 89,537.16/x
  3. Step 3: Cross multiply
    104,496.24x = 156,946.05 × 89,537.16
  4. Step 4: Simplify right side
    104,496.24x = 14,052,503,590.22
  5. Step 5: Solve for x
    x = 14,052,503,590.22/104,496.24
  6. Step 6: Final answer
    x = 134,478.56

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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.