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Finding the Fourth Proportional to 102,191.22, 141,021 and 56,868.48

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Solution

The fourth proportional to 102,191.22, 141,021 and 56,868.48 is: 78,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,191.22 : 141,021 = 56,868.48 : x
  2. Step 2: Convert to fraction form
    102,191.22/141,021 = 56,868.48/x
  3. Step 3: Cross multiply
    102,191.22x = 141,021 × 56,868.48
  4. Step 4: Simplify right side
    102,191.22x = 8,019,649,918.08
  5. Step 5: Solve for x
    x = 8,019,649,918.08/102,191.22
  6. Step 6: Final answer
    x = 78,476.90

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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.