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Finding the Fourth Proportional to 176,452.29, 264,678.44 and 64,111.57

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Solution

The fourth proportional to 176,452.29, 264,678.44 and 64,111.57 is: 96,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,452.29 : 264,678.44 = 64,111.57 : x
  2. Step 2: Convert to fraction form
    176,452.29/264,678.44 = 64,111.57/x
  3. Step 3: Cross multiply
    176,452.29x = 264,678.44 × 64,111.57
  4. Step 4: Simplify right side
    176,452.29x = 16,968,949,351.30
  5. Step 5: Solve for x
    x = 16,968,949,351.30/176,452.29
  6. Step 6: Final answer
    x = 96,167.35

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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.