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Finding the Fourth Proportional to 130,815, 196,293.38 and 101,290.50

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Solution

The fourth proportional to 130,815, 196,293.38 and 101,290.50 is: 151,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815 : 196,293.38 = 101,290.50 : x
  2. Step 2: Convert to fraction form
    130,815/196,293.38 = 101,290.50/x
  3. Step 3: Cross multiply
    130,815x = 196,293.38 × 101,290.50
  4. Step 4: Simplify right side
    130,815x = 19,882,654,100.44
  5. Step 5: Solve for x
    x = 19,882,654,100.44/130,815
  6. Step 6: Final answer
    x = 151,990.63

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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.