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Finding the Fourth Proportional to 102,770.54, 141,820.35 and 57,448.61

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Solution

The fourth proportional to 102,770.54, 141,820.35 and 57,448.61 is: 79,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770.54 : 141,820.35 = 57,448.61 : x
  2. Step 2: Convert to fraction form
    102,770.54/141,820.35 = 57,448.61/x
  3. Step 3: Cross multiply
    102,770.54x = 141,820.35 × 57,448.61
  4. Step 4: Simplify right side
    102,770.54x = 8,147,381,268.11
  5. Step 5: Solve for x
    x = 8,147,381,268.11/102,770.54
  6. Step 6: Final answer
    x = 79,277.40

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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.