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Finding the Fourth Proportional to 136,117.67, 204,235.02 and 47,322.77

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Solution

The fourth proportional to 136,117.67, 204,235.02 and 47,322.77 is: 71,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,117.67 : 204,235.02 = 47,322.77 : x
  2. Step 2: Convert to fraction form
    136,117.67/204,235.02 = 47,322.77/x
  3. Step 3: Cross multiply
    136,117.67x = 204,235.02 × 47,322.77
  4. Step 4: Simplify right side
    136,117.67x = 9,664,965,856.23
  5. Step 5: Solve for x
    x = 9,664,965,856.23/136,117.67
  6. Step 6: Final answer
    x = 71,004.49

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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.