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Finding the Fourth Proportional to 213,369.30, 294,447.42 and 117,869.76

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Solution

The fourth proportional to 213,369.30, 294,447.42 and 117,869.76 is: 162,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,369.30 : 294,447.42 = 117,869.76 : x
  2. Step 2: Convert to fraction form
    213,369.30/294,447.42 = 117,869.76/x
  3. Step 3: Cross multiply
    213,369.30x = 294,447.42 × 117,869.76
  4. Step 4: Simplify right side
    213,369.30x = 34,706,446,728.02
  5. Step 5: Solve for x
    x = 34,706,446,728.02/213,369.30
  6. Step 6: Final answer
    x = 162,659.05

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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.