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Finding the Fourth Proportional to 142,486.40, 213,729.60 and 136,419.20

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Solution

The fourth proportional to 142,486.40, 213,729.60 and 136,419.20 is: 204,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,486.40 : 213,729.60 = 136,419.20 : x
  2. Step 2: Convert to fraction form
    142,486.40/213,729.60 = 136,419.20/x
  3. Step 3: Cross multiply
    142,486.40x = 213,729.60 × 136,419.20
  4. Step 4: Simplify right side
    142,486.40x = 29,156,821,048.32
  5. Step 5: Solve for x
    x = 29,156,821,048.32/142,486.40
  6. Step 6: Final answer
    x = 204,628.80

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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.