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Finding the Fourth Proportional to 160,736.16, 241,120.44 and 42,415.68

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Solution

The fourth proportional to 160,736.16, 241,120.44 and 42,415.68 is: 63,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,736.16 : 241,120.44 = 42,415.68 : x
  2. Step 2: Convert to fraction form
    160,736.16/241,120.44 = 42,415.68/x
  3. Step 3: Cross multiply
    160,736.16x = 241,120.44 × 42,415.68
  4. Step 4: Simplify right side
    160,736.16x = 10,227,287,424.50
  5. Step 5: Solve for x
    x = 10,227,287,424.50/160,736.16
  6. Step 6: Final answer
    x = 63,627.79

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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.