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Finding the Fourth Proportional to 320,171.94, 480,266.55 and 83,509.38

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Solution

The fourth proportional to 320,171.94, 480,266.55 and 83,509.38 is: 125,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,171.94 : 480,266.55 = 83,509.38 : x
  2. Step 2: Convert to fraction form
    320,171.94/480,266.55 = 83,509.38/x
  3. Step 3: Cross multiply
    320,171.94x = 480,266.55 × 83,509.38
  4. Step 4: Simplify right side
    320,171.94x = 40,106,761,825.24
  5. Step 5: Solve for x
    x = 40,106,761,825.24/320,171.94
  6. Step 6: Final answer
    x = 125,266.32

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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.