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Finding the Fourth Proportional to 311,052.60, 466,233.30 and 133,529.40

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Solution

The fourth proportional to 311,052.60, 466,233.30 and 133,529.40 is: 200,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,052.60 : 466,233.30 = 133,529.40 : x
  2. Step 2: Convert to fraction form
    311,052.60/466,233.30 = 133,529.40/x
  3. Step 3: Cross multiply
    311,052.60x = 466,233.30 × 133,529.40
  4. Step 4: Simplify right side
    311,052.60x = 62,255,852,809.02
  5. Step 5: Solve for x
    x = 62,255,852,809.02/311,052.60
  6. Step 6: Final answer
    x = 200,145.74

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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.