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Finding the Fourth Proportional to 301,806.26, 416,492.52 and 165,848.97

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Solution

The fourth proportional to 301,806.26, 416,492.52 and 165,848.97 is: 228,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806.26 : 416,492.52 = 165,848.97 : x
  2. Step 2: Convert to fraction form
    301,806.26/416,492.52 = 165,848.97/x
  3. Step 3: Cross multiply
    301,806.26x = 416,492.52 × 165,848.97
  4. Step 4: Simplify right side
    301,806.26x = 69,074,855,454.70
  5. Step 5: Solve for x
    x = 69,074,855,454.70/301,806.26
  6. Step 6: Final answer
    x = 228,871.52

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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.