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Finding the Fourth Proportional to 233,920, 322,789.98 and 138,409.96

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Solution

The fourth proportional to 233,920, 322,789.98 and 138,409.96 is: 190,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,920 : 322,789.98 = 138,409.96 : x
  2. Step 2: Convert to fraction form
    233,920/322,789.98 = 138,409.96/x
  3. Step 3: Cross multiply
    233,920x = 322,789.98 × 138,409.96
  4. Step 4: Simplify right side
    233,920x = 44,677,348,220.20
  5. Step 5: Solve for x
    x = 44,677,348,220.20/233,920
  6. Step 6: Final answer
    x = 190,994.14

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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.