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Finding the Fourth Proportional to 147,142.94, 203,057.54 and 83,468.42

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Solution

The fourth proportional to 147,142.94, 203,057.54 and 83,468.42 is: 115,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,142.94 : 203,057.54 = 83,468.42 : x
  2. Step 2: Convert to fraction form
    147,142.94/203,057.54 = 83,468.42/x
  3. Step 3: Cross multiply
    147,142.94x = 203,057.54 × 83,468.42
  4. Step 4: Simplify right side
    147,142.94x = 16,948,892,032.89
  5. Step 5: Solve for x
    x = 16,948,892,032.89/147,142.94
  6. Step 6: Final answer
    x = 115,186.58

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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.