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Finding the Fourth Proportional to 161,598.74, 242,414.66 and 61,842.84

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Solution

The fourth proportional to 161,598.74, 242,414.66 and 61,842.84 is: 92,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,598.74 : 242,414.66 = 61,842.84 : x
  2. Step 2: Convert to fraction form
    161,598.74/242,414.66 = 61,842.84/x
  3. Step 3: Cross multiply
    161,598.74x = 242,414.66 × 61,842.84
  4. Step 4: Simplify right side
    161,598.74x = 14,991,611,032.03
  5. Step 5: Solve for x
    x = 14,991,611,032.03/161,598.74
  6. Step 6: Final answer
    x = 92,770.59

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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.