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Finding the Fourth Proportional to 282,562.66, 389,958.15 and 161,741.83

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Solution

The fourth proportional to 282,562.66, 389,958.15 and 161,741.83 is: 223,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,562.66 : 389,958.15 = 161,741.83 : x
  2. Step 2: Convert to fraction form
    282,562.66/389,958.15 = 161,741.83/x
  3. Step 3: Cross multiply
    282,562.66x = 389,958.15 × 161,741.83
  4. Step 4: Simplify right side
    282,562.66x = 63,072,544,804.41
  5. Step 5: Solve for x
    x = 63,072,544,804.41/282,562.66
  6. Step 6: Final answer
    x = 223,216.13

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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.