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Finding the Fourth Proportional to 120,580.92, 180,914.76 and 41,703.12

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Solution

The fourth proportional to 120,580.92, 180,914.76 and 41,703.12 is: 62,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,580.92 : 180,914.76 = 41,703.12 : x
  2. Step 2: Convert to fraction form
    120,580.92/180,914.76 = 41,703.12/x
  3. Step 3: Cross multiply
    120,580.92x = 180,914.76 × 41,703.12
  4. Step 4: Simplify right side
    120,580.92x = 7,544,709,946.05
  5. Step 5: Solve for x
    x = 7,544,709,946.05/120,580.92
  6. Step 6: Final answer
    x = 62,569.68

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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.