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Finding the Fourth Proportional to 180,157, 248,674.98 and 113,089

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Solution

The fourth proportional to 180,157, 248,674.98 and 113,089 is: 156,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,157 : 248,674.98 = 113,089 : x
  2. Step 2: Convert to fraction form
    180,157/248,674.98 = 113,089/x
  3. Step 3: Cross multiply
    180,157x = 248,674.98 × 113,089
  4. Step 4: Simplify right side
    180,157x = 28,122,404,813.22
  5. Step 5: Solve for x
    x = 28,122,404,813.22/180,157
  6. Step 6: Final answer
    x = 156,099.43

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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.