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Finding the Fourth Proportional to 202,214.30, 303,212.10 and 83,897.60

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Solution

The fourth proportional to 202,214.30, 303,212.10 and 83,897.60 is: 125,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214.30 : 303,212.10 = 83,897.60 : x
  2. Step 2: Convert to fraction form
    202,214.30/303,212.10 = 83,897.60/x
  3. Step 3: Cross multiply
    202,214.30x = 303,212.10 × 83,897.60
  4. Step 4: Simplify right side
    202,214.30x = 25,438,767,480.96
  5. Step 5: Solve for x
    x = 25,438,767,480.96/202,214.30
  6. Step 6: Final answer
    x = 125,801.03

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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.