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Finding the Fourth Proportional to 201,783.20, 302,674.80 and 180,010.40

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Solution

The fourth proportional to 201,783.20, 302,674.80 and 180,010.40 is: 270,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783.20 : 302,674.80 = 180,010.40 : x
  2. Step 2: Convert to fraction form
    201,783.20/302,674.80 = 180,010.40/x
  3. Step 3: Cross multiply
    201,783.20x = 302,674.80 × 180,010.40
  4. Step 4: Simplify right side
    201,783.20x = 54,484,611,817.92
  5. Step 5: Solve for x
    x = 54,484,611,817.92/201,783.20
  6. Step 6: Final answer
    x = 270,015.60

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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.