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Finding the Fourth Proportional to 112,333, 155,019.54 and 72,589

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Solution

The fourth proportional to 112,333, 155,019.54 and 72,589 is: 100,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,333 : 155,019.54 = 72,589 : x
  2. Step 2: Convert to fraction form
    112,333/155,019.54 = 72,589/x
  3. Step 3: Cross multiply
    112,333x = 155,019.54 × 72,589
  4. Step 4: Simplify right side
    112,333x = 11,252,713,389.06
  5. Step 5: Solve for x
    x = 11,252,713,389.06/112,333
  6. Step 6: Final answer
    x = 100,172.82

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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.