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Finding the Fourth Proportional to 180,132.42, 248,453.82 and 126,429.42

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Solution

The fourth proportional to 180,132.42, 248,453.82 and 126,429.42 is: 174,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,132.42 : 248,453.82 = 126,429.42 : x
  2. Step 2: Convert to fraction form
    180,132.42/248,453.82 = 126,429.42/x
  3. Step 3: Cross multiply
    180,132.42x = 248,453.82 × 126,429.42
  4. Step 4: Simplify right side
    180,132.42x = 31,411,872,359.38
  5. Step 5: Solve for x
    x = 31,411,872,359.38/180,132.42
  6. Step 6: Final answer
    x = 174,382.11

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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.