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Finding the Fourth Proportional to 213,301.96, 294,331.52 and 117,802.96

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Solution

The fourth proportional to 213,301.96, 294,331.52 and 117,802.96 is: 162,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,301.96 : 294,331.52 = 117,802.96 : x
  2. Step 2: Convert to fraction form
    213,301.96/294,331.52 = 117,802.96/x
  3. Step 3: Cross multiply
    213,301.96x = 294,331.52 × 117,802.96
  4. Step 4: Simplify right side
    213,301.96x = 34,673,123,835.98
  5. Step 5: Solve for x
    x = 34,673,123,835.98/213,301.96
  6. Step 6: Final answer
    x = 162,554.18

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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.