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Finding the Fourth Proportional to 214,113.60, 321,170.40 and 114,580.80

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Solution

The fourth proportional to 214,113.60, 321,170.40 and 114,580.80 is: 171,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,113.60 : 321,170.40 = 114,580.80 : x
  2. Step 2: Convert to fraction form
    214,113.60/321,170.40 = 114,580.80/x
  3. Step 3: Cross multiply
    214,113.60x = 321,170.40 × 114,580.80
  4. Step 4: Simplify right side
    214,113.60x = 36,799,961,368.32
  5. Step 5: Solve for x
    x = 36,799,961,368.32/214,113.60
  6. Step 6: Final answer
    x = 171,871.20

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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.