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Finding the Fourth Proportional to 213,269.79, 294,309.93 and 117,774.57

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Solution

The fourth proportional to 213,269.79, 294,309.93 and 117,774.57 is: 162,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,269.79 : 294,309.93 = 117,774.57 : x
  2. Step 2: Convert to fraction form
    213,269.79/294,309.93 = 117,774.57/x
  3. Step 3: Cross multiply
    213,269.79x = 294,309.93 × 117,774.57
  4. Step 4: Simplify right side
    213,269.79x = 34,662,225,452.48
  5. Step 5: Solve for x
    x = 34,662,225,452.48/213,269.79
  6. Step 6: Final answer
    x = 162,527.59

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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.