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Finding the Fourth Proportional to 105,957.60, 158,855.40 and 53,404.80

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Solution

The fourth proportional to 105,957.60, 158,855.40 and 53,404.80 is: 80,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,957.60 : 158,855.40 = 53,404.80 : x
  2. Step 2: Convert to fraction form
    105,957.60/158,855.40 = 53,404.80/x
  3. Step 3: Cross multiply
    105,957.60x = 158,855.40 × 53,404.80
  4. Step 4: Simplify right side
    105,957.60x = 8,483,640,865.92
  5. Step 5: Solve for x
    x = 8,483,640,865.92/105,957.60
  6. Step 6: Final answer
    x = 80,066.37

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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.