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Finding the Fourth Proportional to 176,589.84, 264,801.60 and 64,191

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Solution

The fourth proportional to 176,589.84, 264,801.60 and 64,191 is: 96,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,589.84 : 264,801.60 = 64,191 : x
  2. Step 2: Convert to fraction form
    176,589.84/264,801.60 = 64,191/x
  3. Step 3: Cross multiply
    176,589.84x = 264,801.60 × 64,191
  4. Step 4: Simplify right side
    176,589.84x = 16,997,879,505.60
  5. Step 5: Solve for x
    x = 16,997,879,505.60/176,589.84
  6. Step 6: Final answer
    x = 96,256.27

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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.