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Finding the Fourth Proportional to 214,102.63, 321,141.58 and 64,339.70

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Solution

The fourth proportional to 214,102.63, 321,141.58 and 64,339.70 is: 96,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,102.63 : 321,141.58 = 64,339.70 : x
  2. Step 2: Convert to fraction form
    214,102.63/321,141.58 = 64,339.70/x
  3. Step 3: Cross multiply
    214,102.63x = 321,141.58 × 64,339.70
  4. Step 4: Simplify right side
    214,102.63x = 20,662,152,914.73
  5. Step 5: Solve for x
    x = 20,662,152,914.73/214,102.63
  6. Step 6: Final answer
    x = 96,505.83

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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.