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Finding the Fourth Proportional to 160,984, 241,489.32 and 50,176

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Solution

The fourth proportional to 160,984, 241,489.32 and 50,176 is: 75,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,984 : 241,489.32 = 50,176 : x
  2. Step 2: Convert to fraction form
    160,984/241,489.32 = 50,176/x
  3. Step 3: Cross multiply
    160,984x = 241,489.32 × 50,176
  4. Step 4: Simplify right side
    160,984x = 12,116,968,120.32
  5. Step 5: Solve for x
    x = 12,116,968,120.32/160,984
  6. Step 6: Final answer
    x = 75,268.15

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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.