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Finding the Fourth Proportional to 180,567.34, 270,749.71 and 123,705.48

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Solution

The fourth proportional to 180,567.34, 270,749.71 and 123,705.48 is: 185,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,567.34 : 270,749.71 = 123,705.48 : x
  2. Step 2: Convert to fraction form
    180,567.34/270,749.71 = 123,705.48/x
  3. Step 3: Cross multiply
    180,567.34x = 270,749.71 × 123,705.48
  4. Step 4: Simplify right side
    180,567.34x = 33,493,222,835.41
  5. Step 5: Solve for x
    x = 33,493,222,835.41/180,567.34
  6. Step 6: Final answer
    x = 185,488.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.