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Finding the Fourth Proportional to 180,004.94, 248,405.22 and 99,438.06

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Solution

The fourth proportional to 180,004.94, 248,405.22 and 99,438.06 is: 137,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,004.94 : 248,405.22 = 99,438.06 : x
  2. Step 2: Convert to fraction form
    180,004.94/248,405.22 = 99,438.06/x
  3. Step 3: Cross multiply
    180,004.94x = 248,405.22 × 99,438.06
  4. Step 4: Simplify right side
    180,004.94x = 24,700,933,170.67
  5. Step 5: Solve for x
    x = 24,700,933,170.67/180,004.94
  6. Step 6: Final answer
    x = 137,223.64

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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.