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Finding the Fourth Proportional to 213,464, 294,586.20 and 117,976.88

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Solution

The fourth proportional to 213,464, 294,586.20 and 117,976.88 is: 162,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,464 : 294,586.20 = 117,976.88 : x
  2. Step 2: Convert to fraction form
    213,464/294,586.20 = 117,976.88/x
  3. Step 3: Cross multiply
    213,464x = 294,586.20 × 117,976.88
  4. Step 4: Simplify right side
    213,464x = 34,754,360,767.06
  5. Step 5: Solve for x
    x = 34,754,360,767.06/213,464
  6. Step 6: Final answer
    x = 162,811.34

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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.