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Finding the Fourth Proportional to 180,038.54, 270,057.90 and 46,918.46

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Solution

The fourth proportional to 180,038.54, 270,057.90 and 46,918.46 is: 70,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,038.54 : 270,057.90 = 46,918.46 : x
  2. Step 2: Convert to fraction form
    180,038.54/270,057.90 = 46,918.46/x
  3. Step 3: Cross multiply
    180,038.54x = 270,057.90 × 46,918.46
  4. Step 4: Simplify right side
    180,038.54x = 12,670,700,778.83
  5. Step 5: Solve for x
    x = 12,670,700,778.83/180,038.54
  6. Step 6: Final answer
    x = 70,377.71

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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.