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Finding the Fourth Proportional to 214,514.87, 321,774.59 and 64,756.40

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Solution

The fourth proportional to 214,514.87, 321,774.59 and 64,756.40 is: 97,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,514.87 : 321,774.59 = 64,756.40 : x
  2. Step 2: Convert to fraction form
    214,514.87/321,774.59 = 64,756.40/x
  3. Step 3: Cross multiply
    214,514.87x = 321,774.59 × 64,756.40
  4. Step 4: Simplify right side
    214,514.87x = 20,836,962,612.89
  5. Step 5: Solve for x
    x = 20,836,962,612.89/214,514.87
  6. Step 6: Final answer
    x = 97,135.29

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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.