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Finding the Fourth Proportional to 190,510.48, 285,896.94 and 65,851.48

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Solution

The fourth proportional to 190,510.48, 285,896.94 and 65,851.48 is: 98,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,510.48 : 285,896.94 = 65,851.48 : x
  2. Step 2: Convert to fraction form
    190,510.48/285,896.94 = 65,851.48/x
  3. Step 3: Cross multiply
    190,510.48x = 285,896.94 × 65,851.48
  4. Step 4: Simplify right side
    190,510.48x = 18,826,736,626.47
  5. Step 5: Solve for x
    x = 18,826,736,626.47/190,510.48
  6. Step 6: Final answer
    x = 98,822.58

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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.