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Finding the Fourth Proportional to 102,470, 141,408.60 and 57,758

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Solution

The fourth proportional to 102,470, 141,408.60 and 57,758 is: 79,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,470 : 141,408.60 = 57,758 : x
  2. Step 2: Convert to fraction form
    102,470/141,408.60 = 57,758/x
  3. Step 3: Cross multiply
    102,470x = 141,408.60 × 57,758
  4. Step 4: Simplify right side
    102,470x = 8,167,477,918.80
  5. Step 5: Solve for x
    x = 8,167,477,918.80/102,470
  6. Step 6: Final answer
    x = 79,706.04

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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.