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Finding the Fourth Proportional to 213,361.86, 294,437.61 and 117,866.55

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Solution

The fourth proportional to 213,361.86, 294,437.61 and 117,866.55 is: 162,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,361.86 : 294,437.61 = 117,866.55 : x
  2. Step 2: Convert to fraction form
    213,361.86/294,437.61 = 117,866.55/x
  3. Step 3: Cross multiply
    213,361.86x = 294,437.61 × 117,866.55
  4. Step 4: Simplify right side
    213,361.86x = 34,704,345,280.95
  5. Step 5: Solve for x
    x = 34,704,345,280.95/213,361.86
  6. Step 6: Final answer
    x = 162,654.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.