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Finding the Fourth Proportional to 190,038, 285,133.12 and 71,742.90

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Solution

The fourth proportional to 190,038, 285,133.12 and 71,742.90 is: 107,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,038 : 285,133.12 = 71,742.90 : x
  2. Step 2: Convert to fraction form
    190,038/285,133.12 = 71,742.90/x
  3. Step 3: Cross multiply
    190,038x = 285,133.12 × 71,742.90
  4. Step 4: Simplify right side
    190,038x = 20,456,276,914.85
  5. Step 5: Solve for x
    x = 20,456,276,914.85/190,038
  6. Step 6: Final answer
    x = 107,643.09

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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.