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Finding the Fourth Proportional to 214,200.08, 295,596.84 and 129,317.84

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Solution

The fourth proportional to 214,200.08, 295,596.84 and 129,317.84 is: 178,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,200.08 : 295,596.84 = 129,317.84 : x
  2. Step 2: Convert to fraction form
    214,200.08/295,596.84 = 129,317.84/x
  3. Step 3: Cross multiply
    214,200.08x = 295,596.84 × 129,317.84
  4. Step 4: Simplify right side
    214,200.08x = 38,225,944,859.63
  5. Step 5: Solve for x
    x = 38,225,944,859.63/214,200.08
  6. Step 6: Final answer
    x = 178,459.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.