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Finding the Fourth Proportional to 202,032.20, 302,918.70 and 83,750.60

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Solution

The fourth proportional to 202,032.20, 302,918.70 and 83,750.60 is: 125,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,032.20 : 302,918.70 = 83,750.60 : x
  2. Step 2: Convert to fraction form
    202,032.20/302,918.70 = 83,750.60/x
  3. Step 3: Cross multiply
    202,032.20x = 302,918.70 × 83,750.60
  4. Step 4: Simplify right side
    202,032.20x = 25,369,622,876.22
  5. Step 5: Solve for x
    x = 25,369,622,876.22/202,032.20
  6. Step 6: Final answer
    x = 125,572.18

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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.