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Finding the Fourth Proportional to 175,813.50, 263,763.99 and 51,154.50

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Solution

The fourth proportional to 175,813.50, 263,763.99 and 51,154.50 is: 76,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,813.50 : 263,763.99 = 51,154.50 : x
  2. Step 2: Convert to fraction form
    175,813.50/263,763.99 = 51,154.50/x
  3. Step 3: Cross multiply
    175,813.50x = 263,763.99 × 51,154.50
  4. Step 4: Simplify right side
    175,813.50x = 13,492,715,026.46
  5. Step 5: Solve for x
    x = 13,492,715,026.46/175,813.50
  6. Step 6: Final answer
    x = 76,744.48

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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.