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Finding the Fourth Proportional to 150,557.81, 225,815.87 and 83,214.27

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Solution

The fourth proportional to 150,557.81, 225,815.87 and 83,214.27 is: 124,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,557.81 : 225,815.87 = 83,214.27 : x
  2. Step 2: Convert to fraction form
    150,557.81/225,815.87 = 83,214.27/x
  3. Step 3: Cross multiply
    150,557.81x = 225,815.87 × 83,214.27
  4. Step 4: Simplify right side
    150,557.81x = 18,791,102,984.50
  5. Step 5: Solve for x
    x = 18,791,102,984.50/150,557.81
  6. Step 6: Final answer
    x = 124,809.89

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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.