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Finding the Fourth Proportional to 129,101.77, 193,293.50 and 65,785.38

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Solution

The fourth proportional to 129,101.77, 193,293.50 and 65,785.38 is: 98,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,101.77 : 193,293.50 = 65,785.38 : x
  2. Step 2: Convert to fraction form
    129,101.77/193,293.50 = 65,785.38/x
  3. Step 3: Cross multiply
    129,101.77x = 193,293.50 × 65,785.38
  4. Step 4: Simplify right side
    129,101.77x = 12,715,886,382.53
  5. Step 5: Solve for x
    x = 12,715,886,382.53/129,101.77
  6. Step 6: Final answer
    x = 98,495.06

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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.