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Finding the Fourth Proportional to 301,224.08, 415,696.92 and 165,263.84

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Solution

The fourth proportional to 301,224.08, 415,696.92 and 165,263.84 is: 228,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,224.08 : 415,696.92 = 165,263.84 : x
  2. Step 2: Convert to fraction form
    301,224.08/415,696.92 = 165,263.84/x
  3. Step 3: Cross multiply
    301,224.08x = 415,696.92 × 165,263.84
  4. Step 4: Simplify right side
    301,224.08x = 68,699,669,275.37
  5. Step 5: Solve for x
    x = 68,699,669,275.37/301,224.08
  6. Step 6: Final answer
    x = 228,068.32

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