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Finding the Fourth Proportional to 292,186.62, 403,217.70 and 161,364.51

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Solution

The fourth proportional to 292,186.62, 403,217.70 and 161,364.51 is: 222,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,186.62 : 403,217.70 = 161,364.51 : x
  2. Step 2: Convert to fraction form
    292,186.62/403,217.70 = 161,364.51/x
  3. Step 3: Cross multiply
    292,186.62x = 403,217.70 × 161,364.51
  4. Step 4: Simplify right side
    292,186.62x = 65,065,026,583.83
  5. Step 5: Solve for x
    x = 65,065,026,583.83/292,186.62
  6. Step 6: Final answer
    x = 222,683.11

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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.