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Finding the Fourth Proportional to 130,025.97, 195,029.24 and 46,919.97

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Solution

The fourth proportional to 130,025.97, 195,029.24 and 46,919.97 is: 70,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,025.97 : 195,029.24 = 46,919.97 : x
  2. Step 2: Convert to fraction form
    130,025.97/195,029.24 = 46,919.97/x
  3. Step 3: Cross multiply
    130,025.97x = 195,029.24 × 46,919.97
  4. Step 4: Simplify right side
    130,025.97x = 9,150,765,855.32
  5. Step 5: Solve for x
    x = 9,150,765,855.32/130,025.97
  6. Step 6: Final answer
    x = 70,376.45

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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.