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Finding the Fourth Proportional to 180,144, 248,598.72 and 100,656

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Solution

The fourth proportional to 180,144, 248,598.72 and 100,656 is: 138,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,144 : 248,598.72 = 100,656 : x
  2. Step 2: Convert to fraction form
    180,144/248,598.72 = 100,656/x
  3. Step 3: Cross multiply
    180,144x = 248,598.72 × 100,656
  4. Step 4: Simplify right side
    180,144x = 25,022,952,760.32
  5. Step 5: Solve for x
    x = 25,022,952,760.32/180,144
  6. Step 6: Final answer
    x = 138,905.28

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