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Finding the Fourth Proportional to 306,113.34, 459,325.53 and 137,599.73

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Solution

The fourth proportional to 306,113.34, 459,325.53 and 137,599.73 is: 206,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,113.34 : 459,325.53 = 137,599.73 : x
  2. Step 2: Convert to fraction form
    306,113.34/459,325.53 = 137,599.73/x
  3. Step 3: Cross multiply
    306,113.34x = 459,325.53 × 137,599.73
  4. Step 4: Simplify right side
    306,113.34x = 63,203,066,613.48
  5. Step 5: Solve for x
    x = 63,203,066,613.48/306,113.34
  6. Step 6: Final answer
    x = 206,469.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.