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Finding the Fourth Proportional to 205,049.60, 307,617.60 and 64,822.40

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Solution

The fourth proportional to 205,049.60, 307,617.60 and 64,822.40 is: 97,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,049.60 : 307,617.60 = 64,822.40 : x
  2. Step 2: Convert to fraction form
    205,049.60/307,617.60 = 64,822.40/x
  3. Step 3: Cross multiply
    205,049.60x = 307,617.60 × 64,822.40
  4. Step 4: Simplify right side
    205,049.60x = 19,940,511,114.24
  5. Step 5: Solve for x
    x = 19,940,511,114.24/205,049.60
  6. Step 6: Final answer
    x = 97,247.26

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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.