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Finding the Fourth Proportional to 180,410.36, 248,962.56 and 99,833.05

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Solution

The fourth proportional to 180,410.36, 248,962.56 and 99,833.05 is: 137,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,410.36 : 248,962.56 = 99,833.05 : x
  2. Step 2: Convert to fraction form
    180,410.36/248,962.56 = 99,833.05/x
  3. Step 3: Cross multiply
    180,410.36x = 248,962.56 × 99,833.05
  4. Step 4: Simplify right side
    180,410.36x = 24,854,691,700.61
  5. Step 5: Solve for x
    x = 24,854,691,700.61/180,410.36
  6. Step 6: Final answer
    x = 137,767.54

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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.