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Finding the Fourth Proportional to 136,461.80, 204,498.30 and 100,643.60

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Solution

The fourth proportional to 136,461.80, 204,498.30 and 100,643.60 is: 150,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,461.80 : 204,498.30 = 100,643.60 : x
  2. Step 2: Convert to fraction form
    136,461.80/204,498.30 = 100,643.60/x
  3. Step 3: Cross multiply
    136,461.80x = 204,498.30 × 100,643.60
  4. Step 4: Simplify right side
    136,461.80x = 20,581,445,105.88
  5. Step 5: Solve for x
    x = 20,581,445,105.88/136,461.80
  6. Step 6: Final answer
    x = 150,822.03

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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.