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Finding the Fourth Proportional to 213,846.48, 295,118.64 and 123,216.66

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Solution

The fourth proportional to 213,846.48, 295,118.64 and 123,216.66 is: 170,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846.48 : 295,118.64 = 123,216.66 : x
  2. Step 2: Convert to fraction form
    213,846.48/295,118.64 = 123,216.66/x
  3. Step 3: Cross multiply
    213,846.48x = 295,118.64 × 123,216.66
  4. Step 4: Simplify right side
    213,846.48x = 36,363,533,124.54
  5. Step 5: Solve for x
    x = 36,363,533,124.54/213,846.48
  6. Step 6: Final answer
    x = 170,045.04

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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.