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Finding the Fourth Proportional to 180,416.16, 270,658.26 and 55,728

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Solution

The fourth proportional to 180,416.16, 270,658.26 and 55,728 is: 83,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,416.16 : 270,658.26 = 55,728 : x
  2. Step 2: Convert to fraction form
    180,416.16/270,658.26 = 55,728/x
  3. Step 3: Cross multiply
    180,416.16x = 270,658.26 × 55,728
  4. Step 4: Simplify right side
    180,416.16x = 15,083,243,513.28
  5. Step 5: Solve for x
    x = 15,083,243,513.28/180,416.16
  6. Step 6: Final answer
    x = 83,602.51

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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.