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Finding the Fourth Proportional to 202,262.80, 303,503.55 and 83,946.10

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Solution

The fourth proportional to 202,262.80, 303,503.55 and 83,946.10 is: 125,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,262.80 : 303,503.55 = 83,946.10 : x
  2. Step 2: Convert to fraction form
    202,262.80/303,503.55 = 83,946.10/x
  3. Step 3: Cross multiply
    202,262.80x = 303,503.55 × 83,946.10
  4. Step 4: Simplify right side
    202,262.80x = 25,477,939,358.66
  5. Step 5: Solve for x
    x = 25,477,939,358.66/202,262.80
  6. Step 6: Final answer
    x = 125,964.53

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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.