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Finding the Fourth Proportional to 195,309.40, 292,272.90 and 133,101.40

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Solution

The fourth proportional to 195,309.40, 292,272.90 and 133,101.40 is: 199,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,309.40 : 292,272.90 = 133,101.40 : x
  2. Step 2: Convert to fraction form
    195,309.40/292,272.90 = 133,101.40/x
  3. Step 3: Cross multiply
    195,309.40x = 292,272.90 × 133,101.40
  4. Step 4: Simplify right side
    195,309.40x = 38,901,932,172.06
  5. Step 5: Solve for x
    x = 38,901,932,172.06/195,309.40
  6. Step 6: Final answer
    x = 199,181.05

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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.