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Finding the Fourth Proportional to 313,777.55, 470,572.01 and 89,156.25

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Solution

The fourth proportional to 313,777.55, 470,572.01 and 89,156.25 is: 133,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,777.55 : 470,572.01 = 89,156.25 : x
  2. Step 2: Convert to fraction form
    313,777.55/470,572.01 = 89,156.25/x
  3. Step 3: Cross multiply
    313,777.55x = 470,572.01 × 89,156.25
  4. Step 4: Simplify right side
    313,777.55x = 41,954,435,766.56
  5. Step 5: Solve for x
    x = 41,954,435,766.56/313,777.55
  6. Step 6: Final answer
    x = 133,707.58

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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.