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Finding the Fourth Proportional to 190,406.49, 285,781.05 and 101,735.79

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Solution

The fourth proportional to 190,406.49, 285,781.05 and 101,735.79 is: 152,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,406.49 : 285,781.05 = 101,735.79 : x
  2. Step 2: Convert to fraction form
    190,406.49/285,781.05 = 101,735.79/x
  3. Step 3: Cross multiply
    190,406.49x = 285,781.05 × 101,735.79
  4. Step 4: Simplify right side
    190,406.49x = 29,074,160,888.78
  5. Step 5: Solve for x
    x = 29,074,160,888.78/190,406.49
  6. Step 6: Final answer
    x = 152,695.22

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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.