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Finding the Fourth Proportional to 262,784.13, 362,642.45 and 149,606.88

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Solution

The fourth proportional to 262,784.13, 362,642.45 and 149,606.88 is: 206,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,784.13 : 362,642.45 = 149,606.88 : x
  2. Step 2: Convert to fraction form
    262,784.13/362,642.45 = 149,606.88/x
  3. Step 3: Cross multiply
    262,784.13x = 362,642.45 × 149,606.88
  4. Step 4: Simplify right side
    262,784.13x = 54,253,805,500.06
  5. Step 5: Solve for x
    x = 54,253,805,500.06/262,784.13
  6. Step 6: Final answer
    x = 206,457.69

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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.