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Finding the Fourth Proportional to 282,101.47, 389,300.40 and 154,777.57

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Solution

The fourth proportional to 282,101.47, 389,300.40 and 154,777.57 is: 213,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,101.47 : 389,300.40 = 154,777.57 : x
  2. Step 2: Convert to fraction form
    282,101.47/389,300.40 = 154,777.57/x
  3. Step 3: Cross multiply
    282,101.47x = 389,300.40 × 154,777.57
  4. Step 4: Simplify right side
    282,101.47x = 60,254,969,912.03
  5. Step 5: Solve for x
    x = 60,254,969,912.03/282,101.47
  6. Step 6: Final answer
    x = 213,593.25

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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.