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Finding the Fourth Proportional to 242,216.21, 363,324.51 and 115,826.64

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Solution

The fourth proportional to 242,216.21, 363,324.51 and 115,826.64 is: 173,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,216.21 : 363,324.51 = 115,826.64 : x
  2. Step 2: Convert to fraction form
    242,216.21/363,324.51 = 115,826.64/x
  3. Step 3: Cross multiply
    242,216.21x = 363,324.51 × 115,826.64
  4. Step 4: Simplify right side
    242,216.21x = 42,082,657,222.95
  5. Step 5: Solve for x
    x = 42,082,657,222.95/242,216.21
  6. Step 6: Final answer
    x = 173,740.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.