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Finding the Fourth Proportional to 180,132.67, 248,454.16 and 126,429.67

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Solution

The fourth proportional to 180,132.67, 248,454.16 and 126,429.67 is: 174,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,132.67 : 248,454.16 = 126,429.67 : x
  2. Step 2: Convert to fraction form
    180,132.67/248,454.16 = 126,429.67/x
  3. Step 3: Cross multiply
    180,132.67x = 248,454.16 × 126,429.67
  4. Step 4: Simplify right side
    180,132.67x = 31,411,977,458.93
  5. Step 5: Solve for x
    x = 31,411,977,458.93/180,132.67
  6. Step 6: Final answer
    x = 174,382.46

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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.