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Finding the Fourth Proportional to 233,726.24, 322,608.24 and 138,266.08

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Solution

The fourth proportional to 233,726.24, 322,608.24 and 138,266.08 is: 190,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,726.24 : 322,608.24 = 138,266.08 : x
  2. Step 2: Convert to fraction form
    233,726.24/322,608.24 = 138,266.08/x
  3. Step 3: Cross multiply
    233,726.24x = 322,608.24 × 138,266.08
  4. Step 4: Simplify right side
    233,726.24x = 44,605,776,720.50
  5. Step 5: Solve for x
    x = 44,605,776,720.50/233,726.24
  6. Step 6: Final answer
    x = 190,846.25

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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.