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Finding the Fourth Proportional to 264,162.35, 364,457.94 and 149,429.90

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Solution

The fourth proportional to 264,162.35, 364,457.94 and 149,429.90 is: 206,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,162.35 : 364,457.94 = 149,429.90 : x
  2. Step 2: Convert to fraction form
    264,162.35/364,457.94 = 149,429.90/x
  3. Step 3: Cross multiply
    264,162.35x = 364,457.94 × 149,429.90
  4. Step 4: Simplify right side
    264,162.35x = 54,460,913,528.41
  5. Step 5: Solve for x
    x = 54,460,913,528.41/264,162.35
  6. Step 6: Final answer
    x = 206,164.56

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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.