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Finding the Fourth Proportional to 109,497.56, 164,256.84 and 50,349.68

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Solution

The fourth proportional to 109,497.56, 164,256.84 and 50,349.68 is: 75,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,497.56 : 164,256.84 = 50,349.68 : x
  2. Step 2: Convert to fraction form
    109,497.56/164,256.84 = 50,349.68/x
  3. Step 3: Cross multiply
    109,497.56x = 164,256.84 × 50,349.68
  4. Step 4: Simplify right side
    109,497.56x = 8,270,279,331.81
  5. Step 5: Solve for x
    x = 8,270,279,331.81/109,497.56
  6. Step 6: Final answer
    x = 75,529.35

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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.