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Finding the Fourth Proportional to 233,030.70, 321,240.06 and 164,837.61

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Solution

The fourth proportional to 233,030.70, 321,240.06 and 164,837.61 is: 227,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,030.70 : 321,240.06 = 164,837.61 : x
  2. Step 2: Convert to fraction form
    233,030.70/321,240.06 = 164,837.61/x
  3. Step 3: Cross multiply
    233,030.70x = 321,240.06 × 164,837.61
  4. Step 4: Simplify right side
    233,030.70x = 52,952,443,726.66
  5. Step 5: Solve for x
    x = 52,952,443,726.66/233,030.70
  6. Step 6: Final answer
    x = 227,233.77

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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.