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Finding the Fourth Proportional to 202,281.30, 303,312.60 and 83,964.60

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Solution

The fourth proportional to 202,281.30, 303,312.60 and 83,964.60 is: 125,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,281.30 : 303,312.60 = 83,964.60 : x
  2. Step 2: Convert to fraction form
    202,281.30/303,312.60 = 83,964.60/x
  3. Step 3: Cross multiply
    202,281.30x = 303,312.60 × 83,964.60
  4. Step 4: Simplify right side
    202,281.30x = 25,467,521,133.96
  5. Step 5: Solve for x
    x = 25,467,521,133.96/202,281.30
  6. Step 6: Final answer
    x = 125,901.51

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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.