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Finding the Fourth Proportional to 161,065.66, 241,416.19 and 82,012.90

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Solution

The fourth proportional to 161,065.66, 241,416.19 and 82,012.90 is: 122,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,065.66 : 241,416.19 = 82,012.90 : x
  2. Step 2: Convert to fraction form
    161,065.66/241,416.19 = 82,012.90/x
  3. Step 3: Cross multiply
    161,065.66x = 241,416.19 × 82,012.90
  4. Step 4: Simplify right side
    161,065.66x = 19,799,241,848.85
  5. Step 5: Solve for x
    x = 19,799,241,848.85/161,065.66
  6. Step 6: Final answer
    x = 122,926.52

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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.