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Finding the Fourth Proportional to 214,507.94, 321,808.14 and 64,735.70

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Solution

The fourth proportional to 214,507.94, 321,808.14 and 64,735.70 is: 97,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,507.94 : 321,808.14 = 64,735.70 : x
  2. Step 2: Convert to fraction form
    214,507.94/321,808.14 = 64,735.70/x
  3. Step 3: Cross multiply
    214,507.94x = 321,808.14 × 64,735.70
  4. Step 4: Simplify right side
    214,507.94x = 20,832,473,599.56
  5. Step 5: Solve for x
    x = 20,832,473,599.56/214,507.94
  6. Step 6: Final answer
    x = 97,117.50

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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.