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Finding the Fourth Proportional to 180,230.46, 248,708 and 99,653.14

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Solution

The fourth proportional to 180,230.46, 248,708 and 99,653.14 is: 137,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,230.46 : 248,708 = 99,653.14 : x
  2. Step 2: Convert to fraction form
    180,230.46/248,708 = 99,653.14/x
  3. Step 3: Cross multiply
    180,230.46x = 248,708 × 99,653.14
  4. Step 4: Simplify right side
    180,230.46x = 24,784,533,143.12
  5. Step 5: Solve for x
    x = 24,784,533,143.12/180,230.46
  6. Step 6: Final answer
    x = 137,515.78

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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.