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Finding the Fourth Proportional to 230,129.96, 317,515.17 and 148,423.64

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Solution

The fourth proportional to 230,129.96, 317,515.17 and 148,423.64 is: 204,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,129.96 : 317,515.17 = 148,423.64 : x
  2. Step 2: Convert to fraction form
    230,129.96/317,515.17 = 148,423.64/x
  3. Step 3: Cross multiply
    230,129.96x = 317,515.17 × 148,423.64
  4. Step 4: Simplify right side
    230,129.96x = 47,126,756,255.63
  5. Step 5: Solve for x
    x = 47,126,756,255.63/230,129.96
  6. Step 6: Final answer
    x = 204,783.23

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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.