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Finding the Fourth Proportional to 102,277, 141,144.42 and 57,565

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Solution

The fourth proportional to 102,277, 141,144.42 and 57,565 is: 79,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,277 : 141,144.42 = 57,565 : x
  2. Step 2: Convert to fraction form
    102,277/141,144.42 = 57,565/x
  3. Step 3: Cross multiply
    102,277x = 141,144.42 × 57,565
  4. Step 4: Simplify right side
    102,277x = 8,124,978,537.30
  5. Step 5: Solve for x
    x = 8,124,978,537.30/102,277
  6. Step 6: Final answer
    x = 79,440.92

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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.