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Finding the Fourth Proportional to 307,602.68, 461,699.55 and 149,941.85

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Solution

The fourth proportional to 307,602.68, 461,699.55 and 149,941.85 is: 225,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,602.68 : 461,699.55 = 149,941.85 : x
  2. Step 2: Convert to fraction form
    307,602.68/461,699.55 = 149,941.85/x
  3. Step 3: Cross multiply
    307,602.68x = 461,699.55 × 149,941.85
  4. Step 4: Simplify right side
    307,602.68x = 69,228,082,362.67
  5. Step 5: Solve for x
    x = 69,228,082,362.67/307,602.68
  6. Step 6: Final answer
    x = 225,056.83

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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.