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Finding the Fourth Proportional to 316,095.94, 474,144.27 and 129,107.44

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Solution

The fourth proportional to 316,095.94, 474,144.27 and 129,107.44 is: 193,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,095.94 : 474,144.27 = 129,107.44 : x
  2. Step 2: Convert to fraction form
    316,095.94/474,144.27 = 129,107.44/x
  3. Step 3: Cross multiply
    316,095.94x = 474,144.27 × 129,107.44
  4. Step 4: Simplify right side
    316,095.94x = 61,215,552,890.37
  5. Step 5: Solve for x
    x = 61,215,552,890.37/316,095.94
  6. Step 6: Final answer
    x = 193,661.31

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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.