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Finding the Fourth Proportional to 201,733, 302,572.32 and 83,387.92

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Solution

The fourth proportional to 201,733, 302,572.32 and 83,387.92 is: 125,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,733 : 302,572.32 = 83,387.92 : x
  2. Step 2: Convert to fraction form
    201,733/302,572.32 = 83,387.92/x
  3. Step 3: Cross multiply
    201,733x = 302,572.32 × 83,387.92
  4. Step 4: Simplify right side
    201,733x = 25,230,876,414.37
  5. Step 5: Solve for x
    x = 25,230,876,414.37/201,733
  6. Step 6: Final answer
    x = 125,070.64

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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.