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Finding the Fourth Proportional to 102,383.88, 141,301.23 and 57,066

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Solution

The fourth proportional to 102,383.88, 141,301.23 and 57,066 is: 78,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,383.88 : 141,301.23 = 57,066 : x
  2. Step 2: Convert to fraction form
    102,383.88/141,301.23 = 57,066/x
  3. Step 3: Cross multiply
    102,383.88x = 141,301.23 × 57,066
  4. Step 4: Simplify right side
    102,383.88x = 8,063,495,991.18
  5. Step 5: Solve for x
    x = 8,063,495,991.18/102,383.88
  6. Step 6: Final answer
    x = 78,757.48

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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.