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Finding the Fourth Proportional to 102,616.22, 141,609.04 and 57,294.98

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Solution

The fourth proportional to 102,616.22, 141,609.04 and 57,294.98 is: 79,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,616.22 : 141,609.04 = 57,294.98 : x
  2. Step 2: Convert to fraction form
    102,616.22/141,609.04 = 57,294.98/x
  3. Step 3: Cross multiply
    102,616.22x = 141,609.04 × 57,294.98
  4. Step 4: Simplify right side
    102,616.22x = 8,113,486,406.57
  5. Step 5: Solve for x
    x = 8,113,486,406.57/102,616.22
  6. Step 6: Final answer
    x = 79,066.32

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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.