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Finding the Fourth Proportional to 273,514.53, 410,455.06 and 96,022.07

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Solution

The fourth proportional to 273,514.53, 410,455.06 and 96,022.07 is: 144,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,514.53 : 410,455.06 = 96,022.07 : x
  2. Step 2: Convert to fraction form
    273,514.53/410,455.06 = 96,022.07/x
  3. Step 3: Cross multiply
    273,514.53x = 410,455.06 × 96,022.07
  4. Step 4: Simplify right side
    273,514.53x = 39,412,742,450.90
  5. Step 5: Solve for x
    x = 39,412,742,450.90/273,514.53
  6. Step 6: Final answer
    x = 144,097.44

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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.