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Finding the Fourth Proportional to 194,643.69, 291,874.81 and 101,124.33

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Solution

The fourth proportional to 194,643.69, 291,874.81 and 101,124.33 is: 151,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643.69 : 291,874.81 = 101,124.33 : x
  2. Step 2: Convert to fraction form
    194,643.69/291,874.81 = 101,124.33/x
  3. Step 3: Cross multiply
    194,643.69x = 291,874.81 × 101,124.33
  4. Step 4: Simplify right side
    194,643.69x = 29,515,644,605.13
  5. Step 5: Solve for x
    x = 29,515,644,605.13/194,643.69
  6. Step 6: Final answer
    x = 151,639.36

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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.