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Finding the Fourth Proportional to 180,013.86, 248,418.09 and 99,441

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Solution

The fourth proportional to 180,013.86, 248,418.09 and 99,441 is: 137,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,013.86 : 248,418.09 = 99,441 : x
  2. Step 2: Convert to fraction form
    180,013.86/248,418.09 = 99,441/x
  3. Step 3: Cross multiply
    180,013.86x = 248,418.09 × 99,441
  4. Step 4: Simplify right side
    180,013.86x = 24,702,943,287.69
  5. Step 5: Solve for x
    x = 24,702,943,287.69/180,013.86
  6. Step 6: Final answer
    x = 137,228.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.