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Finding the Fourth Proportional to 180,076, 248,504.88 and 100,588

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Solution

The fourth proportional to 180,076, 248,504.88 and 100,588 is: 138,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,076 : 248,504.88 = 100,588 : x
  2. Step 2: Convert to fraction form
    180,076/248,504.88 = 100,588/x
  3. Step 3: Cross multiply
    180,076x = 248,504.88 × 100,588
  4. Step 4: Simplify right side
    180,076x = 24,996,608,869.44
  5. Step 5: Solve for x
    x = 24,996,608,869.44/180,076
  6. Step 6: Final answer
    x = 138,811.44

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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.