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Finding the Fourth Proportional to 180,148.14, 248,579.03 and 102,625.82

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Solution

The fourth proportional to 180,148.14, 248,579.03 and 102,625.82 is: 141,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,148.14 : 248,579.03 = 102,625.82 : x
  2. Step 2: Convert to fraction form
    180,148.14/248,579.03 = 102,625.82/x
  3. Step 3: Cross multiply
    180,148.14x = 248,579.03 × 102,625.82
  4. Step 4: Simplify right side
    180,148.14x = 25,510,627,555.38
  5. Step 5: Solve for x
    x = 25,510,627,555.38/180,148.14
  6. Step 6: Final answer
    x = 141,609.16

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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.