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Finding the Fourth Proportional to 160,284.90, 240,424.50 and 47,965.44

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Solution

The fourth proportional to 160,284.90, 240,424.50 and 47,965.44 is: 71,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,284.90 : 240,424.50 = 47,965.44 : x
  2. Step 2: Convert to fraction form
    160,284.90/240,424.50 = 47,965.44/x
  3. Step 3: Cross multiply
    160,284.90x = 240,424.50 × 47,965.44
  4. Step 4: Simplify right side
    160,284.90x = 11,532,066,929.28
  5. Step 5: Solve for x
    x = 11,532,066,929.28/160,284.90
  6. Step 6: Final answer
    x = 71,947.31

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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.