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Finding the Fourth Proportional to 149,805.56, 224,712.94 and 65,522.36

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Solution

The fourth proportional to 149,805.56, 224,712.94 and 65,522.36 is: 98,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,805.56 : 224,712.94 = 65,522.36 : x
  2. Step 2: Convert to fraction form
    149,805.56/224,712.94 = 65,522.36/x
  3. Step 3: Cross multiply
    149,805.56x = 224,712.94 × 65,522.36
  4. Step 4: Simplify right side
    149,805.56x = 14,723,722,151.34
  5. Step 5: Solve for x
    x = 14,723,722,151.34/149,805.56
  6. Step 6: Final answer
    x = 98,285.55

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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.