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Finding the Fourth Proportional to 176,144.20, 264,216.30 and 57,819.40

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Solution

The fourth proportional to 176,144.20, 264,216.30 and 57,819.40 is: 86,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,144.20 : 264,216.30 = 57,819.40 : x
  2. Step 2: Convert to fraction form
    176,144.20/264,216.30 = 57,819.40/x
  3. Step 3: Cross multiply
    176,144.20x = 264,216.30 × 57,819.40
  4. Step 4: Simplify right side
    176,144.20x = 15,276,827,936.22
  5. Step 5: Solve for x
    x = 15,276,827,936.22/176,144.20
  6. Step 6: Final answer
    x = 86,729.10

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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.