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Finding the Fourth Proportional to 230,029.56, 317,419.02 and 129,421.08

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Solution

The fourth proportional to 230,029.56, 317,419.02 and 129,421.08 is: 178,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,029.56 : 317,419.02 = 129,421.08 : x
  2. Step 2: Convert to fraction form
    230,029.56/317,419.02 = 129,421.08/x
  3. Step 3: Cross multiply
    230,029.56x = 317,419.02 × 129,421.08
  4. Step 4: Simplify right side
    230,029.56x = 41,080,712,380.94
  5. Step 5: Solve for x
    x = 41,080,712,380.94/230,029.56
  6. Step 6: Final answer
    x = 178,588.84

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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.