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Finding the Fourth Proportional to 183,872.64, 276,042.24 and 156,345.60

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Solution

The fourth proportional to 183,872.64, 276,042.24 and 156,345.60 is: 234,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,872.64 : 276,042.24 = 156,345.60 : x
  2. Step 2: Convert to fraction form
    183,872.64/276,042.24 = 156,345.60/x
  3. Step 3: Cross multiply
    183,872.64x = 276,042.24 × 156,345.60
  4. Step 4: Simplify right side
    183,872.64x = 43,157,989,638.14
  5. Step 5: Solve for x
    x = 43,157,989,638.14/183,872.64
  6. Step 6: Final answer
    x = 234,716.76

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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.