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Finding the Fourth Proportional to 213,041.46, 293,996.97 and 117,548.14

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Solution

The fourth proportional to 213,041.46, 293,996.97 and 117,548.14 is: 162,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,041.46 : 293,996.97 = 117,548.14 : x
  2. Step 2: Convert to fraction form
    213,041.46/293,996.97 = 117,548.14/x
  3. Step 3: Cross multiply
    213,041.46x = 293,996.97 × 117,548.14
  4. Step 4: Simplify right side
    213,041.46x = 34,558,796,989.14
  5. Step 5: Solve for x
    x = 34,558,796,989.14/213,041.46
  6. Step 6: Final answer
    x = 162,216.30

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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.