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Finding the Fourth Proportional to 233,050.94, 321,663.39 and 164,997.17

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Solution

The fourth proportional to 233,050.94, 321,663.39 and 164,997.17 is: 227,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,050.94 : 321,663.39 = 164,997.17 : x
  2. Step 2: Convert to fraction form
    233,050.94/321,663.39 = 164,997.17/x
  3. Step 3: Cross multiply
    233,050.94x = 321,663.39 × 164,997.17
  4. Step 4: Simplify right side
    233,050.94x = 53,073,549,042.61
  5. Step 5: Solve for x
    x = 53,073,549,042.61/233,050.94
  6. Step 6: Final answer
    x = 227,733.68

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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.