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Finding the Fourth Proportional to 105,859.44, 146,089.44 and 61,147.44

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Solution

The fourth proportional to 105,859.44, 146,089.44 and 61,147.44 is: 84,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,859.44 : 146,089.44 = 61,147.44 : x
  2. Step 2: Convert to fraction form
    105,859.44/146,089.44 = 61,147.44/x
  3. Step 3: Cross multiply
    105,859.44x = 146,089.44 × 61,147.44
  4. Step 4: Simplify right side
    105,859.44x = 8,932,995,267.03
  5. Step 5: Solve for x
    x = 8,932,995,267.03/105,859.44
  6. Step 6: Final answer
    x = 84,385.44

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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.