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Finding the Fourth Proportional to 190,151.57, 285,507.71 and 106,076

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Solution

The fourth proportional to 190,151.57, 285,507.71 and 106,076 is: 159,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,151.57 : 285,507.71 = 106,076 : x
  2. Step 2: Convert to fraction form
    190,151.57/285,507.71 = 106,076/x
  3. Step 3: Cross multiply
    190,151.57x = 285,507.71 × 106,076
  4. Step 4: Simplify right side
    190,151.57x = 30,285,515,845.96
  5. Step 5: Solve for x
    x = 30,285,515,845.96/190,151.57
  6. Step 6: Final answer
    x = 159,270.40

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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.