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Finding the Fourth Proportional to 301,763.88, 416,441.14 and 165,806.32

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Solution

The fourth proportional to 301,763.88, 416,441.14 and 165,806.32 is: 228,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,763.88 : 416,441.14 = 165,806.32 : x
  2. Step 2: Convert to fraction form
    301,763.88/416,441.14 = 165,806.32/x
  3. Step 3: Cross multiply
    301,763.88x = 416,441.14 × 165,806.32
  4. Step 4: Simplify right side
    301,763.88x = 69,048,572,920.00
  5. Step 5: Solve for x
    x = 69,048,572,920.00/301,763.88
  6. Step 6: Final answer
    x = 228,816.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.