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Finding the Fourth Proportional to 160,442.50, 240,676.71 and 49,634.50

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Solution

The fourth proportional to 160,442.50, 240,676.71 and 49,634.50 is: 74,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,442.50 : 240,676.71 = 49,634.50 : x
  2. Step 2: Convert to fraction form
    160,442.50/240,676.71 = 49,634.50/x
  3. Step 3: Cross multiply
    160,442.50x = 240,676.71 × 49,634.50
  4. Step 4: Simplify right side
    160,442.50x = 11,945,868,162.50
  5. Step 5: Solve for x
    x = 11,945,868,162.50/160,442.50
  6. Step 6: Final answer
    x = 74,455.76

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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.