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Finding the Fourth Proportional to 190,532.70, 285,858.54 and 114,714.36

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Solution

The fourth proportional to 190,532.70, 285,858.54 and 114,714.36 is: 172,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,532.70 : 285,858.54 = 114,714.36 : x
  2. Step 2: Convert to fraction form
    190,532.70/285,858.54 = 114,714.36/x
  3. Step 3: Cross multiply
    190,532.70x = 285,858.54 × 114,714.36
  4. Step 4: Simplify right side
    190,532.70x = 32,792,079,466.63
  5. Step 5: Solve for x
    x = 32,792,079,466.63/190,532.70
  6. Step 6: Final answer
    x = 172,107.36

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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.