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Finding the Fourth Proportional to 213,525.86, 294,687.32 and 122,885.64

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Solution

The fourth proportional to 213,525.86, 294,687.32 and 122,885.64 is: 169,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,525.86 : 294,687.32 = 122,885.64 : x
  2. Step 2: Convert to fraction form
    213,525.86/294,687.32 = 122,885.64/x
  3. Step 3: Cross multiply
    213,525.86x = 294,687.32 × 122,885.64
  4. Step 4: Simplify right side
    213,525.86x = 36,212,839,303.66
  5. Step 5: Solve for x
    x = 36,212,839,303.66/213,525.86
  6. Step 6: Final answer
    x = 169,594.63

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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.