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Finding the Fourth Proportional to 147,026.64, 202,896.54 and 89,665.86

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Solution

The fourth proportional to 147,026.64, 202,896.54 and 89,665.86 is: 123,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,026.64 : 202,896.54 = 89,665.86 : x
  2. Step 2: Convert to fraction form
    147,026.64/202,896.54 = 89,665.86/x
  3. Step 3: Cross multiply
    147,026.64x = 202,896.54 × 89,665.86
  4. Step 4: Simplify right side
    147,026.64x = 18,192,892,750.12
  5. Step 5: Solve for x
    x = 18,192,892,750.12/147,026.64
  6. Step 6: Final answer
    x = 123,738.75

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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.