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Finding the Fourth Proportional to 274,065.80, 411,282.30 and 96,573.20

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Solution

The fourth proportional to 274,065.80, 411,282.30 and 96,573.20 is: 144,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,065.80 : 411,282.30 = 96,573.20 : x
  2. Step 2: Convert to fraction form
    274,065.80/411,282.30 = 96,573.20/x
  3. Step 3: Cross multiply
    274,065.80x = 411,282.30 × 96,573.20
  4. Step 4: Simplify right side
    274,065.80x = 39,718,847,814.36
  5. Step 5: Solve for x
    x = 39,718,847,814.36/274,065.80
  6. Step 6: Final answer
    x = 144,924.50

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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.