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Finding the Fourth Proportional to 180,235.26, 248,708.88 and 99,662.40

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Solution

The fourth proportional to 180,235.26, 248,708.88 and 99,662.40 is: 137,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,235.26 : 248,708.88 = 99,662.40 : x
  2. Step 2: Convert to fraction form
    180,235.26/248,708.88 = 99,662.40/x
  3. Step 3: Cross multiply
    180,235.26x = 248,708.88 × 99,662.40
  4. Step 4: Simplify right side
    180,235.26x = 24,786,923,882.11
  5. Step 5: Solve for x
    x = 24,786,923,882.11/180,235.26
  6. Step 6: Final answer
    x = 137,525.39

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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.