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Finding the Fourth Proportional to 213,420.26, 294,510.52 and 117,924.90

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Solution

The fourth proportional to 213,420.26, 294,510.52 and 117,924.90 is: 162,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,420.26 : 294,510.52 = 117,924.90 : x
  2. Step 2: Convert to fraction form
    213,420.26/294,510.52 = 117,924.90/x
  3. Step 3: Cross multiply
    213,420.26x = 294,510.52 × 117,924.90
  4. Step 4: Simplify right side
    213,420.26x = 34,730,123,619.95
  5. Step 5: Solve for x
    x = 34,730,123,619.95/213,420.26
  6. Step 6: Final answer
    x = 162,731.15

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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.