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Finding the Fourth Proportional to 201,805.20, 302,707.80 and 180,032.40

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Solution

The fourth proportional to 201,805.20, 302,707.80 and 180,032.40 is: 270,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,805.20 : 302,707.80 = 180,032.40 : x
  2. Step 2: Convert to fraction form
    201,805.20/302,707.80 = 180,032.40/x
  3. Step 3: Cross multiply
    201,805.20x = 302,707.80 × 180,032.40
  4. Step 4: Simplify right side
    201,805.20x = 54,497,211,732.72
  5. Step 5: Solve for x
    x = 54,497,211,732.72/201,805.20
  6. Step 6: Final answer
    x = 270,048.60

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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.