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Finding the Fourth Proportional to 264,304.38, 364,742.67 and 143,446.74

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Solution

The fourth proportional to 264,304.38, 364,742.67 and 143,446.74 is: 197,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,304.38 : 364,742.67 = 143,446.74 : x
  2. Step 2: Convert to fraction form
    264,304.38/364,742.67 = 143,446.74/x
  3. Step 3: Cross multiply
    264,304.38x = 364,742.67 × 143,446.74
  4. Step 4: Simplify right side
    264,304.38x = 52,321,146,950.40
  5. Step 5: Solve for x
    x = 52,321,146,950.40/264,304.38
  6. Step 6: Final answer
    x = 197,957.93

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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.