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Finding the Fourth Proportional to 264,306.96, 364,577.70 and 156,800.88

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Solution

The fourth proportional to 264,306.96, 364,577.70 and 156,800.88 is: 216,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,306.96 : 364,577.70 = 156,800.88 : x
  2. Step 2: Convert to fraction form
    264,306.96/364,577.70 = 156,800.88/x
  3. Step 3: Cross multiply
    264,306.96x = 364,577.70 × 156,800.88
  4. Step 4: Simplify right side
    264,306.96x = 57,166,104,188.38
  5. Step 5: Solve for x
    x = 57,166,104,188.38/264,306.96
  6. Step 6: Final answer
    x = 216,286.79

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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.