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Finding the Fourth Proportional to 117,760.21, 176,597.57 and 64,491.77

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Solution

The fourth proportional to 117,760.21, 176,597.57 and 64,491.77 is: 96,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,760.21 : 176,597.57 = 64,491.77 : x
  2. Step 2: Convert to fraction form
    117,760.21/176,597.57 = 64,491.77/x
  3. Step 3: Cross multiply
    117,760.21x = 176,597.57 × 64,491.77
  4. Step 4: Simplify right side
    117,760.21x = 11,389,090,469.72
  5. Step 5: Solve for x
    x = 11,389,090,469.72/117,760.21
  6. Step 6: Final answer
    x = 96,714.25

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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.