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Finding the Fourth Proportional to 180,351.59, 248,964.91 and 107,780.09

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Solution

The fourth proportional to 180,351.59, 248,964.91 and 107,780.09 is: 148,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,351.59 : 248,964.91 = 107,780.09 : x
  2. Step 2: Convert to fraction form
    180,351.59/248,964.91 = 107,780.09/x
  3. Step 3: Cross multiply
    180,351.59x = 248,964.91 × 107,780.09
  4. Step 4: Simplify right side
    180,351.59x = 26,833,458,892.37
  5. Step 5: Solve for x
    x = 26,833,458,892.37/180,351.59
  6. Step 6: Final answer
    x = 148,784.16

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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.