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Finding the Fourth Proportional to 96,114, 144,201.84 and 46,197.72

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Solution

The fourth proportional to 96,114, 144,201.84 and 46,197.72 is: 69,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,114 : 144,201.84 = 46,197.72 : x
  2. Step 2: Convert to fraction form
    96,114/144,201.84 = 46,197.72/x
  3. Step 3: Cross multiply
    96,114x = 144,201.84 × 46,197.72
  4. Step 4: Simplify right side
    96,114x = 6,661,796,227.80
  5. Step 5: Solve for x
    x = 6,661,796,227.80/96,114
  6. Step 6: Final answer
    x = 69,311.40

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Why These Related Problems?

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