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Finding the Fourth Proportional to 190,833, 286,249.62 and 59,505

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Solution

The fourth proportional to 190,833, 286,249.62 and 59,505 is: 89,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,833 : 286,249.62 = 59,505 : x
  2. Step 2: Convert to fraction form
    190,833/286,249.62 = 59,505/x
  3. Step 3: Cross multiply
    190,833x = 286,249.62 × 59,505
  4. Step 4: Simplify right side
    190,833x = 17,033,283,638.10
  5. Step 5: Solve for x
    x = 17,033,283,638.10/190,833
  6. Step 6: Final answer
    x = 89,257.54

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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.