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Finding the Fourth Proportional to 264,104.85, 364,458.08 and 147,816.60

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Solution

The fourth proportional to 264,104.85, 364,458.08 and 147,816.60 is: 203,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,104.85 : 364,458.08 = 147,816.60 : x
  2. Step 2: Convert to fraction form
    264,104.85/364,458.08 = 147,816.60/x
  3. Step 3: Cross multiply
    264,104.85x = 364,458.08 × 147,816.60
  4. Step 4: Simplify right side
    264,104.85x = 53,872,953,230.95
  5. Step 5: Solve for x
    x = 53,872,953,230.95/264,104.85
  6. Step 6: Final answer
    x = 203,983.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.