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Finding the Fourth Proportional to 122,841.36, 184,038.48 and 85,322.16

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Solution

The fourth proportional to 122,841.36, 184,038.48 and 85,322.16 is: 127,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,841.36 : 184,038.48 = 85,322.16 : x
  2. Step 2: Convert to fraction form
    122,841.36/184,038.48 = 85,322.16/x
  3. Step 3: Cross multiply
    122,841.36x = 184,038.48 × 85,322.16
  4. Step 4: Simplify right side
    122,841.36x = 15,702,560,636.72
  5. Step 5: Solve for x
    x = 15,702,560,636.72/122,841.36
  6. Step 6: Final answer
    x = 127,827.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.