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Finding the Fourth Proportional to 214,576.90, 321,895.42 and 64,800.20

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Solution

The fourth proportional to 214,576.90, 321,895.42 and 64,800.20 is: 97,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,576.90 : 321,895.42 = 64,800.20 : x
  2. Step 2: Convert to fraction form
    214,576.90/321,895.42 = 64,800.20/x
  3. Step 3: Cross multiply
    214,576.90x = 321,895.42 × 64,800.20
  4. Step 4: Simplify right side
    214,576.90x = 20,858,887,595.08
  5. Step 5: Solve for x
    x = 20,858,887,595.08/214,576.90
  6. Step 6: Final answer
    x = 97,209.38

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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.