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Finding the Fourth Proportional to 117,228.72, 175,642.74 and 83,777.88

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Solution

The fourth proportional to 117,228.72, 175,642.74 and 83,777.88 is: 125,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,228.72 : 175,642.74 = 83,777.88 : x
  2. Step 2: Convert to fraction form
    117,228.72/175,642.74 = 83,777.88/x
  3. Step 3: Cross multiply
    117,228.72x = 175,642.74 × 83,777.88
  4. Step 4: Simplify right side
    117,228.72x = 14,714,976,394.59
  5. Step 5: Solve for x
    x = 14,714,976,394.59/117,228.72
  6. Step 6: Final answer
    x = 125,523.65

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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.