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Finding the Fourth Proportional to 122,522.98, 183,809.97 and 38,279.74

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Solution

The fourth proportional to 122,522.98, 183,809.97 and 38,279.74 is: 57,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,522.98 : 183,809.97 = 38,279.74 : x
  2. Step 2: Convert to fraction form
    122,522.98/183,809.97 = 38,279.74/x
  3. Step 3: Cross multiply
    122,522.98x = 183,809.97 × 38,279.74
  4. Step 4: Simplify right side
    122,522.98x = 7,036,197,861.01
  5. Step 5: Solve for x
    x = 7,036,197,861.01/122,522.98
  6. Step 6: Final answer
    x = 57,427.58

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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.