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Finding the Fourth Proportional to 176,755.08, 264,975.42 and 64,414.14

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Solution

The fourth proportional to 176,755.08, 264,975.42 and 64,414.14 is: 96,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,755.08 : 264,975.42 = 64,414.14 : x
  2. Step 2: Convert to fraction form
    176,755.08/264,975.42 = 64,414.14/x
  3. Step 3: Cross multiply
    176,755.08x = 264,975.42 × 64,414.14
  4. Step 4: Simplify right side
    176,755.08x = 17,068,163,800.44
  5. Step 5: Solve for x
    x = 17,068,163,800.44/176,755.08
  6. Step 6: Final answer
    x = 96,563.92

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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.