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Finding the Fourth Proportional to 180,322.56, 248,840.64 and 99,754.56

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Solution

The fourth proportional to 180,322.56, 248,840.64 and 99,754.56 is: 137,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,322.56 : 248,840.64 = 99,754.56 : x
  2. Step 2: Convert to fraction form
    180,322.56/248,840.64 = 99,754.56/x
  3. Step 3: Cross multiply
    180,322.56x = 248,840.64 × 99,754.56
  4. Step 4: Simplify right side
    180,322.56x = 24,822,988,553.32
  5. Step 5: Solve for x
    x = 24,822,988,553.32/180,322.56
  6. Step 6: Final answer
    x = 137,658.81

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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.