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Finding the Fourth Proportional to 241,427.70, 362,141.55 and 141,635.70

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Solution

The fourth proportional to 241,427.70, 362,141.55 and 141,635.70 is: 212,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,427.70 : 362,141.55 = 141,635.70 : x
  2. Step 2: Convert to fraction form
    241,427.70/362,141.55 = 141,635.70/x
  3. Step 3: Cross multiply
    241,427.70x = 362,141.55 × 141,635.70
  4. Step 4: Simplify right side
    241,427.70x = 51,292,171,933.34
  5. Step 5: Solve for x
    x = 51,292,171,933.34/241,427.70
  6. Step 6: Final answer
    x = 212,453.55

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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.