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Finding the Fourth Proportional to 132,047.37, 182,224.85 and 71,617.77

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Solution

The fourth proportional to 132,047.37, 182,224.85 and 71,617.77 is: 98,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,047.37 : 182,224.85 = 71,617.77 : x
  2. Step 2: Convert to fraction form
    132,047.37/182,224.85 = 71,617.77/x
  3. Step 3: Cross multiply
    132,047.37x = 182,224.85 × 71,617.77
  4. Step 4: Simplify right side
    132,047.37x = 13,050,537,037.50
  5. Step 5: Solve for x
    x = 13,050,537,037.50/132,047.37
  6. Step 6: Final answer
    x = 98,832.24

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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.