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Finding the Fourth Proportional to 292,732.26, 403,965.27 and 165,405.12

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Solution

The fourth proportional to 292,732.26, 403,965.27 and 165,405.12 is: 228,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,732.26 : 403,965.27 = 165,405.12 : x
  2. Step 2: Convert to fraction form
    292,732.26/403,965.27 = 165,405.12/x
  3. Step 3: Cross multiply
    292,732.26x = 403,965.27 × 165,405.12
  4. Step 4: Simplify right side
    292,732.26x = 66,817,923,960.18
  5. Step 5: Solve for x
    x = 66,817,923,960.18/292,732.26
  6. Step 6: Final answer
    x = 228,256.10

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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.