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Finding the Fourth Proportional to 183,092, 274,639.68 and 72,284

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Solution

The fourth proportional to 183,092, 274,639.68 and 72,284 is: 108,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,092 : 274,639.68 = 72,284 : x
  2. Step 2: Convert to fraction form
    183,092/274,639.68 = 72,284/x
  3. Step 3: Cross multiply
    183,092x = 274,639.68 × 72,284
  4. Step 4: Simplify right side
    183,092x = 19,852,054,629.12
  5. Step 5: Solve for x
    x = 19,852,054,629.12/183,092
  6. Step 6: Final answer
    x = 108,426.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.