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Finding the Fourth Proportional to 213,335.80, 294,402.50 and 117,842.49

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Solution

The fourth proportional to 213,335.80, 294,402.50 and 117,842.49 is: 162,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,335.80 : 294,402.50 = 117,842.49 : x
  2. Step 2: Convert to fraction form
    213,335.80/294,402.50 = 117,842.49/x
  3. Step 3: Cross multiply
    213,335.80x = 294,402.50 × 117,842.49
  4. Step 4: Simplify right side
    213,335.80x = 34,693,123,662.23
  5. Step 5: Solve for x
    x = 34,693,123,662.23/213,335.80
  6. Step 6: Final answer
    x = 162,622.14

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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.