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Finding the Fourth Proportional to 222,066, 306,455.40 and 121,466.16

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Solution

The fourth proportional to 222,066, 306,455.40 and 121,466.16 is: 167,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,066 : 306,455.40 = 121,466.16 : x
  2. Step 2: Convert to fraction form
    222,066/306,455.40 = 121,466.16/x
  3. Step 3: Cross multiply
    222,066x = 306,455.40 × 121,466.16
  4. Step 4: Simplify right side
    222,066x = 37,223,960,649.26
  5. Step 5: Solve for x
    x = 37,223,960,649.26/222,066
  6. Step 6: Final answer
    x = 167,625.66

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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.