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Finding the Fourth Proportional to 282,273.75, 389,542.34 and 153,214.79

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Solution

The fourth proportional to 282,273.75, 389,542.34 and 153,214.79 is: 211,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,273.75 : 389,542.34 = 153,214.79 : x
  2. Step 2: Convert to fraction form
    282,273.75/389,542.34 = 153,214.79/x
  3. Step 3: Cross multiply
    282,273.75x = 389,542.34 × 153,214.79
  4. Step 4: Simplify right side
    282,273.75x = 59,683,646,254.53
  5. Step 5: Solve for x
    x = 59,683,646,254.53/282,273.75
  6. Step 6: Final answer
    x = 211,438.88

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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.