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Finding the Fourth Proportional to 141,829, 212,753.74 and 54,277

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Solution

The fourth proportional to 141,829, 212,753.74 and 54,277 is: 81,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,829 : 212,753.74 = 54,277 : x
  2. Step 2: Convert to fraction form
    141,829/212,753.74 = 54,277/x
  3. Step 3: Cross multiply
    141,829x = 212,753.74 × 54,277
  4. Step 4: Simplify right side
    141,829x = 11,547,634,745.98
  5. Step 5: Solve for x
    x = 11,547,634,745.98/141,829
  6. Step 6: Final answer
    x = 81,419.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.