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Finding the Fourth Proportional to 190,506.45, 285,737.76 and 50,276.01

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Solution

The fourth proportional to 190,506.45, 285,737.76 and 50,276.01 is: 75,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,506.45 : 285,737.76 = 50,276.01 : x
  2. Step 2: Convert to fraction form
    190,506.45/285,737.76 = 50,276.01/x
  3. Step 3: Cross multiply
    190,506.45x = 285,737.76 × 50,276.01
  4. Step 4: Simplify right side
    190,506.45x = 14,365,754,479.14
  5. Step 5: Solve for x
    x = 14,365,754,479.14/190,506.45
  6. Step 6: Final answer
    x = 75,408.23

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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.