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Finding the Fourth Proportional to 190,510.56, 285,745.60 and 78,202.56

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Solution

The fourth proportional to 190,510.56, 285,745.60 and 78,202.56 is: 117,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,510.56 : 285,745.60 = 78,202.56 : x
  2. Step 2: Convert to fraction form
    190,510.56/285,745.60 = 78,202.56/x
  3. Step 3: Cross multiply
    190,510.56x = 285,745.60 × 78,202.56
  4. Step 4: Simplify right side
    190,510.56x = 22,346,037,428.74
  5. Step 5: Solve for x
    x = 22,346,037,428.74/190,510.56
  6. Step 6: Final answer
    x = 117,295.53

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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.