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Finding the Fourth Proportional to 233,625.34, 322,406.36 and 138,140.92

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Solution

The fourth proportional to 233,625.34, 322,406.36 and 138,140.92 is: 190,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,625.34 : 322,406.36 = 138,140.92 : x
  2. Step 2: Convert to fraction form
    233,625.34/322,406.36 = 138,140.92/x
  3. Step 3: Cross multiply
    233,625.34x = 322,406.36 × 138,140.92
  4. Step 4: Simplify right side
    233,625.34x = 44,537,511,184.25
  5. Step 5: Solve for x
    x = 44,537,511,184.25/233,625.34
  6. Step 6: Final answer
    x = 190,636.47

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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.