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Finding the Fourth Proportional to 192,714.48, 288,954.66 and 96,539.84

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Solution

The fourth proportional to 192,714.48, 288,954.66 and 96,539.84 is: 144,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,714.48 : 288,954.66 = 96,539.84 : x
  2. Step 2: Convert to fraction form
    192,714.48/288,954.66 = 96,539.84/x
  3. Step 3: Cross multiply
    192,714.48x = 288,954.66 × 96,539.84
  4. Step 4: Simplify right side
    192,714.48x = 27,895,636,643.65
  5. Step 5: Solve for x
    x = 27,895,636,643.65/192,714.48
  6. Step 6: Final answer
    x = 144,751.12

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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.