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Finding the Fourth Proportional to 183,103.22, 274,433.01 and 77,700.80

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Solution

The fourth proportional to 183,103.22, 274,433.01 and 77,700.80 is: 116,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,103.22 : 274,433.01 = 77,700.80 : x
  2. Step 2: Convert to fraction form
    183,103.22/274,433.01 = 77,700.80/x
  3. Step 3: Cross multiply
    183,103.22x = 274,433.01 × 77,700.80
  4. Step 4: Simplify right side
    183,103.22x = 21,323,664,423.41
  5. Step 5: Solve for x
    x = 21,323,664,423.41/183,103.22
  6. Step 6: Final answer
    x = 116,457.07

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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.