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Finding the Fourth Proportional to 180,613.50, 270,920.25 and 49,285.50

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Solution

The fourth proportional to 180,613.50, 270,920.25 and 49,285.50 is: 73,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,613.50 : 270,920.25 = 49,285.50 : x
  2. Step 2: Convert to fraction form
    180,613.50/270,920.25 = 49,285.50/x
  3. Step 3: Cross multiply
    180,613.50x = 270,920.25 × 49,285.50
  4. Step 4: Simplify right side
    180,613.50x = 13,352,439,981.38
  5. Step 5: Solve for x
    x = 13,352,439,981.38/180,613.50
  6. Step 6: Final answer
    x = 73,928.25

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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.