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Finding the Fourth Proportional to 301,638.66, 452,146.92 and 135,543.30

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Solution

The fourth proportional to 301,638.66, 452,146.92 and 135,543.30 is: 203,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,638.66 : 452,146.92 = 135,543.30 : x
  2. Step 2: Convert to fraction form
    301,638.66/452,146.92 = 135,543.30/x
  3. Step 3: Cross multiply
    301,638.66x = 452,146.92 × 135,543.30
  4. Step 4: Simplify right side
    301,638.66x = 61,285,485,621.64
  5. Step 5: Solve for x
    x = 61,285,485,621.64/301,638.66
  6. Step 6: Final answer
    x = 203,175.17

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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.