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Finding the Fourth Proportional to 109,412.70, 150,989.43 and 59,111.70

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Solution

The fourth proportional to 109,412.70, 150,989.43 and 59,111.70 is: 81,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412.70 : 150,989.43 = 59,111.70 : x
  2. Step 2: Convert to fraction form
    109,412.70/150,989.43 = 59,111.70/x
  3. Step 3: Cross multiply
    109,412.70x = 150,989.43 × 59,111.70
  4. Step 4: Simplify right side
    109,412.70x = 8,925,241,889.33
  5. Step 5: Solve for x
    x = 8,925,241,889.33/109,412.70
  6. Step 6: Final answer
    x = 81,574.09

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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.