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Finding the Fourth Proportional to 203,496.80, 280,501.93 and 160,406.42

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Solution

The fourth proportional to 203,496.80, 280,501.93 and 160,406.42 is: 221,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,496.80 : 280,501.93 = 160,406.42 : x
  2. Step 2: Convert to fraction form
    203,496.80/280,501.93 = 160,406.42/x
  3. Step 3: Cross multiply
    203,496.80x = 280,501.93 × 160,406.42
  4. Step 4: Simplify right side
    203,496.80x = 44,994,310,394.39
  5. Step 5: Solve for x
    x = 44,994,310,394.39/203,496.80
  6. Step 6: Final answer
    x = 221,105.74

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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.