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Finding the Fourth Proportional to 309,985.56, 465,026.94 and 132,493.50

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Solution

The fourth proportional to 309,985.56, 465,026.94 and 132,493.50 is: 198,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,985.56 : 465,026.94 = 132,493.50 : x
  2. Step 2: Convert to fraction form
    309,985.56/465,026.94 = 132,493.50/x
  3. Step 3: Cross multiply
    309,985.56x = 465,026.94 × 132,493.50
  4. Step 4: Simplify right side
    309,985.56x = 61,613,046,874.89
  5. Step 5: Solve for x
    x = 61,613,046,874.89/309,985.56
  6. Step 6: Final answer
    x = 198,761.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.