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Finding the Fourth Proportional to 180,233.53, 248,719.68 and 99,659.30

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Solution

The fourth proportional to 180,233.53, 248,719.68 and 99,659.30 is: 137,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,233.53 : 248,719.68 = 99,659.30 : x
  2. Step 2: Convert to fraction form
    180,233.53/248,719.68 = 99,659.30/x
  3. Step 3: Cross multiply
    180,233.53x = 248,719.68 × 99,659.30
  4. Step 4: Simplify right side
    180,233.53x = 24,787,227,961.43
  5. Step 5: Solve for x
    x = 24,787,227,961.43/180,233.53
  6. Step 6: Final answer
    x = 137,528.40

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Why These Related Problems?

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