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Finding the Fourth Proportional to 180,329.40, 269,975.70 and 110,345.40

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Solution

The fourth proportional to 180,329.40, 269,975.70 and 110,345.40 is: 165,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,329.40 : 269,975.70 = 110,345.40 : x
  2. Step 2: Convert to fraction form
    180,329.40/269,975.70 = 110,345.40/x
  3. Step 3: Cross multiply
    180,329.40x = 269,975.70 × 110,345.40
  4. Step 4: Simplify right side
    180,329.40x = 29,790,576,606.78
  5. Step 5: Solve for x
    x = 29,790,576,606.78/180,329.40
  6. Step 6: Final answer
    x = 165,200.89

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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.