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Finding the Fourth Proportional to 301,802.50, 416,487.33 and 165,845.22

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Solution

The fourth proportional to 301,802.50, 416,487.33 and 165,845.22 is: 228,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,802.50 : 416,487.33 = 165,845.22 : x
  2. Step 2: Convert to fraction form
    301,802.50/416,487.33 = 165,845.22/x
  3. Step 3: Cross multiply
    301,802.50x = 416,487.33 × 165,845.22
  4. Step 4: Simplify right side
    301,802.50x = 69,072,430,788.63
  5. Step 5: Solve for x
    x = 69,072,430,788.63/301,802.50
  6. Step 6: Final answer
    x = 228,866.33

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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.