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Finding the Fourth Proportional to 202,052.20, 302,948.70 and 83,770.60

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Solution

The fourth proportional to 202,052.20, 302,948.70 and 83,770.60 is: 125,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052.20 : 302,948.70 = 83,770.60 : x
  2. Step 2: Convert to fraction form
    202,052.20/302,948.70 = 83,770.60/x
  3. Step 3: Cross multiply
    202,052.20x = 302,948.70 × 83,770.60
  4. Step 4: Simplify right side
    202,052.20x = 25,378,194,368.22
  5. Step 5: Solve for x
    x = 25,378,194,368.22/202,052.20
  6. Step 6: Final answer
    x = 125,602.17

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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.