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Finding the Fourth Proportional to 150,798.31, 207,974.44 and 107,698.01

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Solution

The fourth proportional to 150,798.31, 207,974.44 and 107,698.01 is: 148,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,798.31 : 207,974.44 = 107,698.01 : x
  2. Step 2: Convert to fraction form
    150,798.31/207,974.44 = 107,698.01/x
  3. Step 3: Cross multiply
    150,798.31x = 207,974.44 × 107,698.01
  4. Step 4: Simplify right side
    150,798.31x = 22,398,431,807.81
  5. Step 5: Solve for x
    x = 22,398,431,807.81/150,798.31
  6. Step 6: Final answer
    x = 148,532.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.