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Finding the Fourth Proportional to 213,147.66, 294,142.32 and 117,654.30

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Solution

The fourth proportional to 213,147.66, 294,142.32 and 117,654.30 is: 162,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.66 : 294,142.32 = 117,654.30 : x
  2. Step 2: Convert to fraction form
    213,147.66/294,142.32 = 117,654.30/x
  3. Step 3: Cross multiply
    213,147.66x = 294,142.32 × 117,654.30
  4. Step 4: Simplify right side
    213,147.66x = 34,607,108,759.98
  5. Step 5: Solve for x
    x = 34,607,108,759.98/213,147.66
  6. Step 6: Final answer
    x = 162,362.13

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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.