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Finding the Fourth Proportional to 146,643.32, 202,459.50 and 100,781.96

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Solution

The fourth proportional to 146,643.32, 202,459.50 and 100,781.96 is: 139,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,643.32 : 202,459.50 = 100,781.96 : x
  2. Step 2: Convert to fraction form
    146,643.32/202,459.50 = 100,781.96/x
  3. Step 3: Cross multiply
    146,643.32x = 202,459.50 × 100,781.96
  4. Step 4: Simplify right side
    146,643.32x = 20,404,265,230.62
  5. Step 5: Solve for x
    x = 20,404,265,230.62/146,643.32
  6. Step 6: Final answer
    x = 139,142.14

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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.