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Finding the Fourth Proportional to 180,165, 248,606.16 and 99,581.64

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Solution

The fourth proportional to 180,165, 248,606.16 and 99,581.64 is: 137,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,165 : 248,606.16 = 99,581.64 : x
  2. Step 2: Convert to fraction form
    180,165/248,606.16 = 99,581.64/x
  3. Step 3: Cross multiply
    180,165x = 248,606.16 × 99,581.64
  4. Step 4: Simplify right side
    180,165x = 24,756,609,126.90
  5. Step 5: Solve for x
    x = 24,756,609,126.90/180,165
  6. Step 6: Final answer
    x = 137,410.76

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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.