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Finding the Fourth Proportional to 233,712.20, 322,588.90 and 138,252.08

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Solution

The fourth proportional to 233,712.20, 322,588.90 and 138,252.08 is: 190,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,712.20 : 322,588.90 = 138,252.08 : x
  2. Step 2: Convert to fraction form
    233,712.20/322,588.90 = 138,252.08/x
  3. Step 3: Cross multiply
    233,712.20x = 322,588.90 × 138,252.08
  4. Step 4: Simplify right side
    233,712.20x = 44,598,586,409.91
  5. Step 5: Solve for x
    x = 44,598,586,409.91/233,712.20
  6. Step 6: Final answer
    x = 190,826.95

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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.