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Finding the Fourth Proportional to 192,833, 289,254.62 and 61,505

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Solution

The fourth proportional to 192,833, 289,254.62 and 61,505 is: 92,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,833 : 289,254.62 = 61,505 : x
  2. Step 2: Convert to fraction form
    192,833/289,254.62 = 61,505/x
  3. Step 3: Cross multiply
    192,833x = 289,254.62 × 61,505
  4. Step 4: Simplify right side
    192,833x = 17,790,605,403.10
  5. Step 5: Solve for x
    x = 17,790,605,403.10/192,833
  6. Step 6: Final answer
    x = 92,259.13

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Why These Related Problems?

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