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Finding the Fourth Proportional to 201,658.80, 302,245.20 and 117,256.80

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Solution

The fourth proportional to 201,658.80, 302,245.20 and 117,256.80 is: 175,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.80 : 302,245.20 = 117,256.80 : x
  2. Step 2: Convert to fraction form
    201,658.80/302,245.20 = 117,256.80/x
  3. Step 3: Cross multiply
    201,658.80x = 302,245.20 × 117,256.80
  4. Step 4: Simplify right side
    201,658.80x = 35,440,304,967.36
  5. Step 5: Solve for x
    x = 35,440,304,967.36/201,658.80
  6. Step 6: Final answer
    x = 175,743.90

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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.