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Finding the Fourth Proportional to 141,405.78, 212,083.14 and 57,162.54

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Solution

The fourth proportional to 141,405.78, 212,083.14 and 57,162.54 is: 85,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,405.78 : 212,083.14 = 57,162.54 : x
  2. Step 2: Convert to fraction form
    141,405.78/212,083.14 = 57,162.54/x
  3. Step 3: Cross multiply
    141,405.78x = 212,083.14 × 57,162.54
  4. Step 4: Simplify right side
    141,405.78x = 12,123,210,973.58
  5. Step 5: Solve for x
    x = 12,123,210,973.58/141,405.78
  6. Step 6: Final answer
    x = 85,733.49

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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.