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Finding the Fourth Proportional to 205,242.60, 307,833.12 and 64,983

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Solution

The fourth proportional to 205,242.60, 307,833.12 and 64,983 is: 97,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,242.60 : 307,833.12 = 64,983 : x
  2. Step 2: Convert to fraction form
    205,242.60/307,833.12 = 64,983/x
  3. Step 3: Cross multiply
    205,242.60x = 307,833.12 × 64,983
  4. Step 4: Simplify right side
    205,242.60x = 20,003,919,636.96
  5. Step 5: Solve for x
    x = 20,003,919,636.96/205,242.60
  6. Step 6: Final answer
    x = 97,464.75

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