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Finding the Fourth Proportional to 102,512, 141,466.56 and 55,408

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Solution

The fourth proportional to 102,512, 141,466.56 and 55,408 is: 76,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,512 : 141,466.56 = 55,408 : x
  2. Step 2: Convert to fraction form
    102,512/141,466.56 = 55,408/x
  3. Step 3: Cross multiply
    102,512x = 141,466.56 × 55,408
  4. Step 4: Simplify right side
    102,512x = 7,838,379,156.48
  5. Step 5: Solve for x
    x = 7,838,379,156.48/102,512
  6. Step 6: Final answer
    x = 76,463.04

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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.