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Finding the Fourth Proportional to 180,478.01, 248,794.40 and 137,382.44

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Solution

The fourth proportional to 180,478.01, 248,794.40 and 137,382.44 is: 189,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,478.01 : 248,794.40 = 137,382.44 : x
  2. Step 2: Convert to fraction form
    180,478.01/248,794.40 = 137,382.44/x
  3. Step 3: Cross multiply
    180,478.01x = 248,794.40 × 137,382.44
  4. Step 4: Simplify right side
    180,478.01x = 34,179,980,829.82
  5. Step 5: Solve for x
    x = 34,179,980,829.82/180,478.01
  6. Step 6: Final answer
    x = 189,385.84

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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.