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Finding the Fourth Proportional to 144,835.83, 217,313.77 and 78,197.64

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Solution

The fourth proportional to 144,835.83, 217,313.77 and 78,197.64 is: 117,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,835.83 : 217,313.77 = 78,197.64 : x
  2. Step 2: Convert to fraction form
    144,835.83/217,313.77 = 78,197.64/x
  3. Step 3: Cross multiply
    144,835.83x = 217,313.77 × 78,197.64
  4. Step 4: Simplify right side
    144,835.83x = 16,993,423,953.50
  5. Step 5: Solve for x
    x = 16,993,423,953.50/144,835.83
  6. Step 6: Final answer
    x = 117,328.87

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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.