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Finding the Fourth Proportional to 222,032, 306,404.40 and 121,430.24

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Solution

The fourth proportional to 222,032, 306,404.40 and 121,430.24 is: 167,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,032 : 306,404.40 = 121,430.24 : x
  2. Step 2: Convert to fraction form
    222,032/306,404.40 = 121,430.24/x
  3. Step 3: Cross multiply
    222,032x = 306,404.40 × 121,430.24
  4. Step 4: Simplify right side
    222,032x = 37,206,759,829.06
  5. Step 5: Solve for x
    x = 37,206,759,829.06/222,032
  6. Step 6: Final answer
    x = 167,573.86

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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.