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Finding the Fourth Proportional to 144,495.89, 199,444.43 and 84,078.24

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Solution

The fourth proportional to 144,495.89, 199,444.43 and 84,078.24 is: 116,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,495.89 : 199,444.43 = 84,078.24 : x
  2. Step 2: Convert to fraction form
    144,495.89/199,444.43 = 84,078.24/x
  3. Step 3: Cross multiply
    144,495.89x = 199,444.43 × 84,078.24
  4. Step 4: Simplify right side
    144,495.89x = 16,768,936,488.44
  5. Step 5: Solve for x
    x = 16,768,936,488.44/144,495.89
  6. Step 6: Final answer
    x = 116,051.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.