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Finding the Fourth Proportional to 180,272.40, 248,773.11 and 99,698.07

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Solution

The fourth proportional to 180,272.40, 248,773.11 and 99,698.07 is: 137,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,272.40 : 248,773.11 = 99,698.07 : x
  2. Step 2: Convert to fraction form
    180,272.40/248,773.11 = 99,698.07/x
  3. Step 3: Cross multiply
    180,272.40x = 248,773.11 × 99,698.07
  4. Step 4: Simplify right side
    180,272.40x = 24,802,198,934.90
  5. Step 5: Solve for x
    x = 24,802,198,934.90/180,272.40
  6. Step 6: Final answer
    x = 137,581.79

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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.