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Finding the Fourth Proportional to 214,101.60, 321,152.40 and 114,568.80

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Solution

The fourth proportional to 214,101.60, 321,152.40 and 114,568.80 is: 171,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,101.60 : 321,152.40 = 114,568.80 : x
  2. Step 2: Convert to fraction form
    214,101.60/321,152.40 = 114,568.80/x
  3. Step 3: Cross multiply
    214,101.60x = 321,152.40 × 114,568.80
  4. Step 4: Simplify right side
    214,101.60x = 36,794,045,085.12
  5. Step 5: Solve for x
    x = 36,794,045,085.12/214,101.60
  6. Step 6: Final answer
    x = 171,853.20

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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.