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Finding the Fourth Proportional to 190,451.70, 285,696.99 and 65,776.50

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Solution

The fourth proportional to 190,451.70, 285,696.99 and 65,776.50 is: 98,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,451.70 : 285,696.99 = 65,776.50 : x
  2. Step 2: Convert to fraction form
    190,451.70/285,696.99 = 65,776.50/x
  3. Step 3: Cross multiply
    190,451.70x = 285,696.99 × 65,776.50
  4. Step 4: Simplify right side
    190,451.70x = 18,792,148,062.74
  5. Step 5: Solve for x
    x = 18,792,148,062.74/190,451.70
  6. Step 6: Final answer
    x = 98,671.46

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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.