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Finding the Fourth Proportional to 201,824.83, 302,737.23 and 83,365.96

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Solution

The fourth proportional to 201,824.83, 302,737.23 and 83,365.96 is: 125,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824.83 : 302,737.23 = 83,365.96 : x
  2. Step 2: Convert to fraction form
    201,824.83/302,737.23 = 83,365.96/x
  3. Step 3: Cross multiply
    201,824.83x = 302,737.23 × 83,365.96
  4. Step 4: Simplify right side
    201,824.83x = 25,237,979,806.69
  5. Step 5: Solve for x
    x = 25,237,979,806.69/201,824.83
  6. Step 6: Final answer
    x = 125,048.93

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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.