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Finding the Fourth Proportional to 130,097.20, 194,854.20 and 106,769.20

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Solution

The fourth proportional to 130,097.20, 194,854.20 and 106,769.20 is: 159,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,097.20 : 194,854.20 = 106,769.20 : x
  2. Step 2: Convert to fraction form
    130,097.20/194,854.20 = 106,769.20/x
  3. Step 3: Cross multiply
    130,097.20x = 194,854.20 × 106,769.20
  4. Step 4: Simplify right side
    130,097.20x = 20,804,427,050.64
  5. Step 5: Solve for x
    x = 20,804,427,050.64/130,097.20
  6. Step 6: Final answer
    x = 159,914.49

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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.