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Finding the Fourth Proportional to 213,359.70, 294,432.15 and 117,865.50

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Solution

The fourth proportional to 213,359.70, 294,432.15 and 117,865.50 is: 162,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,359.70 : 294,432.15 = 117,865.50 : x
  2. Step 2: Convert to fraction form
    213,359.70/294,432.15 = 117,865.50/x
  3. Step 3: Cross multiply
    213,359.70x = 294,432.15 × 117,865.50
  4. Step 4: Simplify right side
    213,359.70x = 34,703,392,575.83
  5. Step 5: Solve for x
    x = 34,703,392,575.83/213,359.70
  6. Step 6: Final answer
    x = 162,652.05

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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.