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Finding the Fourth Proportional to 282,186.17, 389,408.14 and 154,858.49

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Solution

The fourth proportional to 282,186.17, 389,408.14 and 154,858.49 is: 213,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,186.17 : 389,408.14 = 154,858.49 : x
  2. Step 2: Convert to fraction form
    282,186.17/389,408.14 = 154,858.49/x
  3. Step 3: Cross multiply
    282,186.17x = 389,408.14 × 154,858.49
  4. Step 4: Simplify right side
    282,186.17x = 60,303,156,554.11
  5. Step 5: Solve for x
    x = 60,303,156,554.11/282,186.17
  6. Step 6: Final answer
    x = 213,699.90

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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.