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Finding the Fourth Proportional to 213,265.32, 294,306.26 and 116,470.50

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Solution

The fourth proportional to 213,265.32, 294,306.26 and 116,470.50 is: 160,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,265.32 : 294,306.26 = 116,470.50 : x
  2. Step 2: Convert to fraction form
    213,265.32/294,306.26 = 116,470.50/x
  3. Step 3: Cross multiply
    213,265.32x = 294,306.26 × 116,470.50
  4. Step 4: Simplify right side
    213,265.32x = 34,277,996,672.98
  5. Step 5: Solve for x
    x = 34,277,996,672.98/213,265.32
  6. Step 6: Final answer
    x = 160,729.35

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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.