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Finding the Fourth Proportional to 117,790.08, 176,714.28 and 55,446

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Solution

The fourth proportional to 117,790.08, 176,714.28 and 55,446 is: 83,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,790.08 : 176,714.28 = 55,446 : x
  2. Step 2: Convert to fraction form
    117,790.08/176,714.28 = 55,446/x
  3. Step 3: Cross multiply
    117,790.08x = 176,714.28 × 55,446
  4. Step 4: Simplify right side
    117,790.08x = 9,798,099,968.88
  5. Step 5: Solve for x
    x = 9,798,099,968.88/117,790.08
  6. Step 6: Final answer
    x = 83,182.73

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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.