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Finding the Fourth Proportional to 213,147.90, 294,142.50 and 117,654.57

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Solution

The fourth proportional to 213,147.90, 294,142.50 and 117,654.57 is: 162,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.90 : 294,142.50 = 117,654.57 : x
  2. Step 2: Convert to fraction form
    213,147.90/294,142.50 = 117,654.57/x
  3. Step 3: Cross multiply
    213,147.90x = 294,142.50 × 117,654.57
  4. Step 4: Simplify right side
    213,147.90x = 34,607,209,356.23
  5. Step 5: Solve for x
    x = 34,607,209,356.23/213,147.90
  6. Step 6: Final answer
    x = 162,362.42

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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.