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Finding the Fourth Proportional to 230,549.80, 345,824.70 and 141,514.60

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Solution

The fourth proportional to 230,549.80, 345,824.70 and 141,514.60 is: 212,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,549.80 : 345,824.70 = 141,514.60 : x
  2. Step 2: Convert to fraction form
    230,549.80/345,824.70 = 141,514.60/x
  3. Step 3: Cross multiply
    230,549.80x = 345,824.70 × 141,514.60
  4. Step 4: Simplify right side
    230,549.80x = 48,939,244,090.62
  5. Step 5: Solve for x
    x = 48,939,244,090.62/230,549.80
  6. Step 6: Final answer
    x = 212,271.90

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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.