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Finding the Fourth Proportional to 262,900.13, 362,802.17 and 149,733.41

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Solution

The fourth proportional to 262,900.13, 362,802.17 and 149,733.41 is: 206,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,900.13 : 362,802.17 = 149,733.41 : x
  2. Step 2: Convert to fraction form
    262,900.13/362,802.17 = 149,733.41/x
  3. Step 3: Cross multiply
    262,900.13x = 362,802.17 × 149,733.41
  4. Step 4: Simplify right side
    262,900.13x = 54,323,604,629.82
  5. Step 5: Solve for x
    x = 54,323,604,629.82/262,900.13
  6. Step 6: Final answer
    x = 206,632.10

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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.