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Finding the Fourth Proportional to 292,664.61, 403,876.26 and 165,340.17

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Solution

The fourth proportional to 292,664.61, 403,876.26 and 165,340.17 is: 228,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,664.61 : 403,876.26 = 165,340.17 : x
  2. Step 2: Convert to fraction form
    292,664.61/403,876.26 = 165,340.17/x
  3. Step 3: Cross multiply
    292,664.61x = 403,876.26 × 165,340.17
  4. Step 4: Simplify right side
    292,664.61x = 66,776,969,487.36
  5. Step 5: Solve for x
    x = 66,776,969,487.36/292,664.61
  6. Step 6: Final answer
    x = 228,168.93

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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.