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Finding the Fourth Proportional to 105,514.58, 145,611.96 and 65,227.34

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Solution

The fourth proportional to 105,514.58, 145,611.96 and 65,227.34 is: 90,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,514.58 : 145,611.96 = 65,227.34 : x
  2. Step 2: Convert to fraction form
    105,514.58/145,611.96 = 65,227.34/x
  3. Step 3: Cross multiply
    105,514.58x = 145,611.96 × 65,227.34
  4. Step 4: Simplify right side
    105,514.58x = 9,497,880,822.99
  5. Step 5: Solve for x
    x = 9,497,880,822.99/105,514.58
  6. Step 6: Final answer
    x = 90,014.87

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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.