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Finding the Fourth Proportional to 117,719.40, 176,838.30 and 82,727.40

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Solution

The fourth proportional to 117,719.40, 176,838.30 and 82,727.40 is: 124,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,719.40 : 176,838.30 = 82,727.40 : x
  2. Step 2: Convert to fraction form
    117,719.40/176,838.30 = 82,727.40/x
  3. Step 3: Cross multiply
    117,719.40x = 176,838.30 × 82,727.40
  4. Step 4: Simplify right side
    117,719.40x = 14,629,372,779.42
  5. Step 5: Solve for x
    x = 14,629,372,779.42/117,719.40
  6. Step 6: Final answer
    x = 124,273.25

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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.