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Finding the Fourth Proportional to 141,857.46, 212,817.31 and 42,025.46

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Solution

The fourth proportional to 141,857.46, 212,817.31 and 42,025.46 is: 63,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,857.46 : 212,817.31 = 42,025.46 : x
  2. Step 2: Convert to fraction form
    141,857.46/212,817.31 = 42,025.46/x
  3. Step 3: Cross multiply
    141,857.46x = 212,817.31 × 42,025.46
  4. Step 4: Simplify right side
    141,857.46x = 8,943,744,179.56
  5. Step 5: Solve for x
    x = 8,943,744,179.56/141,857.46
  6. Step 6: Final answer
    x = 63,047.40

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Why These Related Problems?

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