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Finding the Fourth Proportional to 150,547.43, 225,859.10 and 106,260.68

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Solution

The fourth proportional to 150,547.43, 225,859.10 and 106,260.68 is: 159,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.43 : 225,859.10 = 106,260.68 : x
  2. Step 2: Convert to fraction form
    150,547.43/225,859.10 = 106,260.68/x
  3. Step 3: Cross multiply
    150,547.43x = 225,859.10 × 106,260.68
  4. Step 4: Simplify right side
    150,547.43x = 23,999,941,583.53
  5. Step 5: Solve for x
    x = 23,999,941,583.53/150,547.43
  6. Step 6: Final answer
    x = 159,417.81

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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.