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Finding the Fourth Proportional to 105,227.36, 157,899.36 and 42,893.04

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Solution

The fourth proportional to 105,227.36, 157,899.36 and 42,893.04 is: 64,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,227.36 : 157,899.36 = 42,893.04 : x
  2. Step 2: Convert to fraction form
    105,227.36/157,899.36 = 42,893.04/x
  3. Step 3: Cross multiply
    105,227.36x = 157,899.36 × 42,893.04
  4. Step 4: Simplify right side
    105,227.36x = 6,772,783,564.45
  5. Step 5: Solve for x
    x = 6,772,783,564.45/105,227.36
  6. Step 6: Final answer
    x = 64,363.33

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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.