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Finding the Fourth Proportional to 289,157.80, 433,715.10 and 120,634.60

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Solution

The fourth proportional to 289,157.80, 433,715.10 and 120,634.60 is: 180,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,157.80 : 433,715.10 = 120,634.60 : x
  2. Step 2: Convert to fraction form
    289,157.80/433,715.10 = 120,634.60/x
  3. Step 3: Cross multiply
    289,157.80x = 433,715.10 × 120,634.60
  4. Step 4: Simplify right side
    289,157.80x = 52,321,047,602.46
  5. Step 5: Solve for x
    x = 52,321,047,602.46/289,157.80
  6. Step 6: Final answer
    x = 180,942.89

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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.