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Finding the Fourth Proportional to 178,423.36, 267,634.90 and 53,764.36

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Solution

The fourth proportional to 178,423.36, 267,634.90 and 53,764.36 is: 80,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,423.36 : 267,634.90 = 53,764.36 : x
  2. Step 2: Convert to fraction form
    178,423.36/267,634.90 = 53,764.36/x
  3. Step 3: Cross multiply
    178,423.36x = 267,634.90 × 53,764.36
  4. Step 4: Simplify right side
    178,423.36x = 14,389,219,112.16
  5. Step 5: Solve for x
    x = 14,389,219,112.16/178,423.36
  6. Step 6: Final answer
    x = 80,646.50

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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.