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Finding the Fourth Proportional to 96,101.91, 144,245.88 and 46,216.44

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Solution

The fourth proportional to 96,101.91, 144,245.88 and 46,216.44 is: 69,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,101.91 : 144,245.88 = 46,216.44 : x
  2. Step 2: Convert to fraction form
    96,101.91/144,245.88 = 46,216.44/x
  3. Step 3: Cross multiply
    96,101.91x = 144,245.88 × 46,216.44
  4. Step 4: Simplify right side
    96,101.91x = 6,666,531,058.27
  5. Step 5: Solve for x
    x = 6,666,531,058.27/96,101.91
  6. Step 6: Final answer
    x = 69,369.39

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1.5x scale

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.