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Finding the Fourth Proportional to 144,522.96, 199,461.80 and 80,865.08

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Solution

The fourth proportional to 144,522.96, 199,461.80 and 80,865.08 is: 111,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,522.96 : 199,461.80 = 80,865.08 : x
  2. Step 2: Convert to fraction form
    144,522.96/199,461.80 = 80,865.08/x
  3. Step 3: Cross multiply
    144,522.96x = 199,461.80 × 80,865.08
  4. Step 4: Simplify right side
    144,522.96x = 16,129,494,413.94
  5. Step 5: Solve for x
    x = 16,129,494,413.94/144,522.96
  6. Step 6: Final answer
    x = 111,605.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.