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Finding the Fourth Proportional to 233,922, 322,792.74 and 138,411.96

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Solution

The fourth proportional to 233,922, 322,792.74 and 138,411.96 is: 190,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,922 : 322,792.74 = 138,411.96 : x
  2. Step 2: Convert to fraction form
    233,922/322,792.74 = 138,411.96/x
  3. Step 3: Cross multiply
    233,922x = 322,792.74 × 138,411.96
  4. Step 4: Simplify right side
    233,922x = 44,678,375,817.17
  5. Step 5: Solve for x
    x = 44,678,375,817.17/233,922
  6. Step 6: Final answer
    x = 190,996.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.