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Finding the Fourth Proportional to 320,271.02, 480,243.24 and 106,962.14

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Solution

The fourth proportional to 320,271.02, 480,243.24 and 106,962.14 is: 160,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,271.02 : 480,243.24 = 106,962.14 : x
  2. Step 2: Convert to fraction form
    320,271.02/480,243.24 = 106,962.14/x
  3. Step 3: Cross multiply
    320,271.02x = 480,243.24 × 106,962.14
  4. Step 4: Simplify right side
    320,271.02x = 51,367,844,670.93
  5. Step 5: Solve for x
    x = 51,367,844,670.93/320,271.02
  6. Step 6: Final answer
    x = 160,388.68

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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.