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Finding the Fourth Proportional to 146,448.86, 202,142.39 and 85,209.46

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Solution

The fourth proportional to 146,448.86, 202,142.39 and 85,209.46 is: 117,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,448.86 : 202,142.39 = 85,209.46 : x
  2. Step 2: Convert to fraction form
    146,448.86/202,142.39 = 85,209.46/x
  3. Step 3: Cross multiply
    146,448.86x = 202,142.39 × 85,209.46
  4. Step 4: Simplify right side
    146,448.86x = 17,224,443,895.01
  5. Step 5: Solve for x
    x = 17,224,443,895.01/146,448.86
  6. Step 6: Final answer
    x = 117,614.05

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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.