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Finding the Fourth Proportional to 151,019.68, 226,532.64 and 54,953.60

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Solution

The fourth proportional to 151,019.68, 226,532.64 and 54,953.60 is: 82,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,019.68 : 226,532.64 = 54,953.60 : x
  2. Step 2: Convert to fraction form
    151,019.68/226,532.64 = 54,953.60/x
  3. Step 3: Cross multiply
    151,019.68x = 226,532.64 × 54,953.60
  4. Step 4: Simplify right side
    151,019.68x = 12,448,784,085.50
  5. Step 5: Solve for x
    x = 12,448,784,085.50/151,019.68
  6. Step 6: Final answer
    x = 82,431.54

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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.