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Finding the Fourth Proportional to 183,201.64, 274,828.54 and 56,852.80

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Solution

The fourth proportional to 183,201.64, 274,828.54 and 56,852.80 is: 85,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,201.64 : 274,828.54 = 56,852.80 : x
  2. Step 2: Convert to fraction form
    183,201.64/274,828.54 = 56,852.80/x
  3. Step 3: Cross multiply
    183,201.64x = 274,828.54 × 56,852.80
  4. Step 4: Simplify right side
    183,201.64x = 15,624,771,296.31
  5. Step 5: Solve for x
    x = 15,624,771,296.31/183,201.64
  6. Step 6: Final answer
    x = 85,287.29

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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.