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Finding the Fourth Proportional to 209,307.20, 313,960.80 and 183,063.20

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Solution

The fourth proportional to 209,307.20, 313,960.80 and 183,063.20 is: 274,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,307.20 : 313,960.80 = 183,063.20 : x
  2. Step 2: Convert to fraction form
    209,307.20/313,960.80 = 183,063.20/x
  3. Step 3: Cross multiply
    209,307.20x = 313,960.80 × 183,063.20
  4. Step 4: Simplify right side
    209,307.20x = 57,474,668,722.56
  5. Step 5: Solve for x
    x = 57,474,668,722.56/209,307.20
  6. Step 6: Final answer
    x = 274,594.80

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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.