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Finding the Fourth Proportional to 190,345.40, 285,532.68 and 50,102

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Solution

The fourth proportional to 190,345.40, 285,532.68 and 50,102 is: 75,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,345.40 : 285,532.68 = 50,102 : x
  2. Step 2: Convert to fraction form
    190,345.40/285,532.68 = 50,102/x
  3. Step 3: Cross multiply
    190,345.40x = 285,532.68 × 50,102
  4. Step 4: Simplify right side
    190,345.40x = 14,305,758,333.36
  5. Step 5: Solve for x
    x = 14,305,758,333.36/190,345.40
  6. Step 6: Final answer
    x = 75,156.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.