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Finding the Fourth Proportional to 190,225.92, 285,443.90 and 106,033.49

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Solution

The fourth proportional to 190,225.92, 285,443.90 and 106,033.49 is: 159,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,225.92 : 285,443.90 = 106,033.49 : x
  2. Step 2: Convert to fraction form
    190,225.92/285,443.90 = 106,033.49/x
  3. Step 3: Cross multiply
    190,225.92x = 285,443.90 × 106,033.49
  4. Step 4: Simplify right side
    190,225.92x = 30,266,612,426.86
  5. Step 5: Solve for x
    x = 30,266,612,426.86/190,225.92
  6. Step 6: Final answer
    x = 159,108.77

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1.5x scale

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.