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Finding the Fourth Proportional to 214,263.56, 321,078.58 and 202,281.56

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Solution

The fourth proportional to 214,263.56, 321,078.58 and 202,281.56 is: 303,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,263.56 : 321,078.58 = 202,281.56 : x
  2. Step 2: Convert to fraction form
    214,263.56/321,078.58 = 202,281.56/x
  3. Step 3: Cross multiply
    214,263.56x = 321,078.58 × 202,281.56
  4. Step 4: Simplify right side
    214,263.56x = 64,948,276,044.98
  5. Step 5: Solve for x
    x = 64,948,276,044.98/214,263.56
  6. Step 6: Final answer
    x = 303,123.29

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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.