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Finding the Fourth Proportional to 180,020.78, 270,046.54 and 46,901.06

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Solution

The fourth proportional to 180,020.78, 270,046.54 and 46,901.06 is: 70,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,020.78 : 270,046.54 = 46,901.06 : x
  2. Step 2: Convert to fraction form
    180,020.78/270,046.54 = 46,901.06/x
  3. Step 3: Cross multiply
    180,020.78x = 270,046.54 × 46,901.06
  4. Step 4: Simplify right side
    180,020.78x = 12,665,468,975.33
  5. Step 5: Solve for x
    x = 12,665,468,975.33/180,020.78
  6. Step 6: Final answer
    x = 70,355.59

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1.5x scale

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.