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Finding the Fourth Proportional to 301,634.66, 452,140.94 and 135,539.30

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Solution

The fourth proportional to 301,634.66, 452,140.94 and 135,539.30 is: 203,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,634.66 : 452,140.94 = 135,539.30 : x
  2. Step 2: Convert to fraction form
    301,634.66/452,140.94 = 135,539.30/x
  3. Step 3: Cross multiply
    301,634.66x = 452,140.94 × 135,539.30
  4. Step 4: Simplify right side
    301,634.66x = 61,282,866,508.94
  5. Step 5: Solve for x
    x = 61,282,866,508.94/301,634.66
  6. Step 6: Final answer
    x = 203,169.18

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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.