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Finding the Fourth Proportional to 222,032.13, 306,411.62 and 121,430.13

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Solution

The fourth proportional to 222,032.13, 306,411.62 and 121,430.13 is: 167,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,032.13 : 306,411.62 = 121,430.13 : x
  2. Step 2: Convert to fraction form
    222,032.13/306,411.62 = 121,430.13/x
  3. Step 3: Cross multiply
    222,032.13x = 306,411.62 × 121,430.13
  4. Step 4: Simplify right side
    222,032.13x = 37,207,602,850.11
  5. Step 5: Solve for x
    x = 37,207,602,850.11/222,032.13
  6. Step 6: Final answer
    x = 167,577.56

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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.