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Finding the Fourth Proportional to 301,859.60, 416,539.13 and 165,892.05

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Solution

The fourth proportional to 301,859.60, 416,539.13 and 165,892.05 is: 228,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,859.60 : 416,539.13 = 165,892.05 : x
  2. Step 2: Convert to fraction form
    301,859.60/416,539.13 = 165,892.05/x
  3. Step 3: Cross multiply
    301,859.60x = 416,539.13 × 165,892.05
  4. Step 4: Simplify right side
    301,859.60x = 69,100,529,351.46
  5. Step 5: Solve for x
    x = 69,100,529,351.46/301,859.60
  6. Step 6: Final answer
    x = 228,916.13

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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.