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Finding the Fourth Proportional to 320,182.99, 480,274.48 and 120,548.16

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Solution

The fourth proportional to 320,182.99, 480,274.48 and 120,548.16 is: 180,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,182.99 : 480,274.48 = 120,548.16 : x
  2. Step 2: Convert to fraction form
    320,182.99/480,274.48 = 120,548.16/x
  3. Step 3: Cross multiply
    320,182.99x = 480,274.48 × 120,548.16
  4. Step 4: Simplify right side
    320,182.99x = 57,896,205,009.64
  5. Step 5: Solve for x
    x = 57,896,205,009.64/320,182.99
  6. Step 6: Final answer
    x = 180,822.24

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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.