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Finding the Fourth Proportional to 190,405.99, 285,780.30 and 101,735.29

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Solution

The fourth proportional to 190,405.99, 285,780.30 and 101,735.29 is: 152,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,405.99 : 285,780.30 = 101,735.29 : x
  2. Step 2: Convert to fraction form
    190,405.99/285,780.30 = 101,735.29/x
  3. Step 3: Cross multiply
    190,405.99x = 285,780.30 × 101,735.29
  4. Step 4: Simplify right side
    190,405.99x = 29,073,941,696.79
  5. Step 5: Solve for x
    x = 29,073,941,696.79/190,405.99
  6. Step 6: Final answer
    x = 152,694.47

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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.