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Finding the Fourth Proportional to 289,415.80, 434,102.10 and 120,892.60

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Solution

The fourth proportional to 289,415.80, 434,102.10 and 120,892.60 is: 181,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,415.80 : 434,102.10 = 120,892.60 : x
  2. Step 2: Convert to fraction form
    289,415.80/434,102.10 = 120,892.60/x
  3. Step 3: Cross multiply
    289,415.80x = 434,102.10 × 120,892.60
  4. Step 4: Simplify right side
    289,415.80x = 52,479,731,534.46
  5. Step 5: Solve for x
    x = 52,479,731,534.46/289,415.80
  6. Step 6: Final answer
    x = 181,329.88

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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.