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Finding the Fourth Proportional to 233,914.29, 322,803.54 and 129,141.50

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Solution

The fourth proportional to 233,914.29, 322,803.54 and 129,141.50 is: 178,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,914.29 : 322,803.54 = 129,141.50 : x
  2. Step 2: Convert to fraction form
    233,914.29/322,803.54 = 129,141.50/x
  3. Step 3: Cross multiply
    233,914.29x = 322,803.54 × 129,141.50
  4. Step 4: Simplify right side
    233,914.29x = 41,687,333,360.91
  5. Step 5: Solve for x
    x = 41,687,333,360.91/233,914.29
  6. Step 6: Final answer
    x = 178,216.27

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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.