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Finding the Fourth Proportional to 180,048, 248,466.24 and 100,560

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Solution

The fourth proportional to 180,048, 248,466.24 and 100,560 is: 138,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,048 : 248,466.24 = 100,560 : x
  2. Step 2: Convert to fraction form
    180,048/248,466.24 = 100,560/x
  3. Step 3: Cross multiply
    180,048x = 248,466.24 × 100,560
  4. Step 4: Simplify right side
    180,048x = 24,985,765,094.40
  5. Step 5: Solve for x
    x = 24,985,765,094.40/180,048
  6. Step 6: Final answer
    x = 138,772.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.