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Finding the Fourth Proportional to 190,224.56, 285,315.24 and 49,994.12

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Solution

The fourth proportional to 190,224.56, 285,315.24 and 49,994.12 is: 74,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,224.56 : 285,315.24 = 49,994.12 : x
  2. Step 2: Convert to fraction form
    190,224.56/285,315.24 = 49,994.12/x
  3. Step 3: Cross multiply
    190,224.56x = 285,315.24 × 49,994.12
  4. Step 4: Simplify right side
    190,224.56x = 14,264,084,346.39
  5. Step 5: Solve for x
    x = 14,264,084,346.39/190,224.56
  6. Step 6: Final answer
    x = 74,985.50

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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.