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Finding the Fourth Proportional to 107,094.48, 160,608.51 and 85,984.80

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Solution

The fourth proportional to 107,094.48, 160,608.51 and 85,984.80 is: 128,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,094.48 : 160,608.51 = 85,984.80 : x
  2. Step 2: Convert to fraction form
    107,094.48/160,608.51 = 85,984.80/x
  3. Step 3: Cross multiply
    107,094.48x = 160,608.51 × 85,984.80
  4. Step 4: Simplify right side
    107,094.48x = 13,809,890,610.65
  5. Step 5: Solve for x
    x = 13,809,890,610.65/107,094.48
  6. Step 6: Final answer
    x = 128,950.54

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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.