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Finding the Fourth Proportional to 282,260.30, 389,342.01 and 167,457.66

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Solution

The fourth proportional to 282,260.30, 389,342.01 and 167,457.66 is: 230,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,260.30 : 389,342.01 = 167,457.66 : x
  2. Step 2: Convert to fraction form
    282,260.30/389,342.01 = 167,457.66/x
  3. Step 3: Cross multiply
    282,260.30x = 389,342.01 × 167,457.66
  4. Step 4: Simplify right side
    282,260.30x = 65,198,301,934.30
  5. Step 5: Solve for x
    x = 65,198,301,934.30/282,260.30
  6. Step 6: Final answer
    x = 230,986.44

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