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Finding the Fourth Proportional to 213,324.66, 294,385.05 and 116,527.36

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Solution

The fourth proportional to 213,324.66, 294,385.05 and 116,527.36 is: 160,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,324.66 : 294,385.05 = 116,527.36 : x
  2. Step 2: Convert to fraction form
    213,324.66/294,385.05 = 116,527.36/x
  3. Step 3: Cross multiply
    213,324.66x = 294,385.05 × 116,527.36
  4. Step 4: Simplify right side
    213,324.66x = 34,303,911,672.69
  5. Step 5: Solve for x
    x = 34,303,911,672.69/213,324.66
  6. Step 6: Final answer
    x = 160,806.12

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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.