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Finding the Fourth Proportional to 141,477, 212,240.34 and 57,233.76

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Solution

The fourth proportional to 141,477, 212,240.34 and 57,233.76 is: 85,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,477 : 212,240.34 = 57,233.76 : x
  2. Step 2: Convert to fraction form
    141,477/212,240.34 = 57,233.76/x
  3. Step 3: Cross multiply
    141,477x = 212,240.34 × 57,233.76
  4. Step 4: Simplify right side
    141,477x = 12,147,312,681.88
  5. Step 5: Solve for x
    x = 12,147,312,681.88/141,477
  6. Step 6: Final answer
    x = 85,860.69

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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.