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Finding the Fourth Proportional to 160,163.16, 240,266.82 and 54,968.46

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Solution

The fourth proportional to 160,163.16, 240,266.82 and 54,968.46 is: 82,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,163.16 : 240,266.82 = 54,968.46 : x
  2. Step 2: Convert to fraction form
    160,163.16/240,266.82 = 54,968.46/x
  3. Step 3: Cross multiply
    160,163.16x = 240,266.82 × 54,968.46
  4. Step 4: Simplify right side
    160,163.16x = 13,207,097,084.50
  5. Step 5: Solve for x
    x = 13,207,097,084.50/160,163.16
  6. Step 6: Final answer
    x = 82,460.27

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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.