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Finding the Fourth Proportional to 201,234.40, 302,197.20 and 142,482.40

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Solution

The fourth proportional to 201,234.40, 302,197.20 and 142,482.40 is: 213,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,234.40 : 302,197.20 = 142,482.40 : x
  2. Step 2: Convert to fraction form
    201,234.40/302,197.20 = 142,482.40/x
  3. Step 3: Cross multiply
    201,234.40x = 302,197.20 × 142,482.40
  4. Step 4: Simplify right side
    201,234.40x = 43,057,782,329.28
  5. Step 5: Solve for x
    x = 43,057,782,329.28/201,234.40
  6. Step 6: Final answer
    x = 213,968.30

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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.