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Finding the Fourth Proportional to 203,792.04, 305,704.44 and 77,492.70

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Solution

The fourth proportional to 203,792.04, 305,704.44 and 77,492.70 is: 116,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,792.04 : 305,704.44 = 77,492.70 : x
  2. Step 2: Convert to fraction form
    203,792.04/305,704.44 = 77,492.70/x
  3. Step 3: Cross multiply
    203,792.04x = 305,704.44 × 77,492.70
  4. Step 4: Simplify right side
    203,792.04x = 23,689,862,457.59
  5. Step 5: Solve for x
    x = 23,689,862,457.59/203,792.04
  6. Step 6: Final answer
    x = 116,245.28

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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.