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Finding the Fourth Proportional to 190,503.84, 285,733.84 and 50,273.40

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Solution

The fourth proportional to 190,503.84, 285,733.84 and 50,273.40 is: 75,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,503.84 : 285,733.84 = 50,273.40 : x
  2. Step 2: Convert to fraction form
    190,503.84/285,733.84 = 50,273.40/x
  3. Step 3: Cross multiply
    190,503.84x = 285,733.84 × 50,273.40
  4. Step 4: Simplify right side
    190,503.84x = 14,364,811,631.86
  5. Step 5: Solve for x
    x = 14,364,811,631.86/190,503.84
  6. Step 6: Final answer
    x = 75,404.32

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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.