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Finding the Fourth Proportional to 129,654.16, 194,588.16 and 100,251.16

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Solution

The fourth proportional to 129,654.16, 194,588.16 and 100,251.16 is: 150,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654.16 : 194,588.16 = 100,251.16 : x
  2. Step 2: Convert to fraction form
    129,654.16/194,588.16 = 100,251.16/x
  3. Step 3: Cross multiply
    129,654.16x = 194,588.16 × 100,251.16
  4. Step 4: Simplify right side
    129,654.16x = 19,507,688,762.27
  5. Step 5: Solve for x
    x = 19,507,688,762.27/129,654.16
  6. Step 6: Final answer
    x = 150,459.41

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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.