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Finding the Fourth Proportional to 222,090, 306,484.20 and 121,490.16

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Solution

The fourth proportional to 222,090, 306,484.20 and 121,490.16 is: 167,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,090 : 306,484.20 = 121,490.16 : x
  2. Step 2: Convert to fraction form
    222,090/306,484.20 = 121,490.16/x
  3. Step 3: Cross multiply
    222,090x = 306,484.20 × 121,490.16
  4. Step 4: Simplify right side
    222,090x = 37,234,814,495.47
  5. Step 5: Solve for x
    x = 37,234,814,495.47/222,090
  6. Step 6: Final answer
    x = 167,656.42

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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.