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Finding the Fourth Proportional to 190,762.80, 286,273.80 and 106,522.80

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Solution

The fourth proportional to 190,762.80, 286,273.80 and 106,522.80 is: 159,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,762.80 : 286,273.80 = 106,522.80 : x
  2. Step 2: Convert to fraction form
    190,762.80/286,273.80 = 106,522.80/x
  3. Step 3: Cross multiply
    190,762.80x = 286,273.80 × 106,522.80
  4. Step 4: Simplify right side
    190,762.80x = 30,494,686,742.64
  5. Step 5: Solve for x
    x = 30,494,686,742.64/190,762.80
  6. Step 6: Final answer
    x = 159,856.57

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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.