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Finding the Fourth Proportional to 229,169.10, 316,291.41 and 133,675.86

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Solution

The fourth proportional to 229,169.10, 316,291.41 and 133,675.86 is: 184,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,169.10 : 316,291.41 = 133,675.86 : x
  2. Step 2: Convert to fraction form
    229,169.10/316,291.41 = 133,675.86/x
  3. Step 3: Cross multiply
    229,169.10x = 316,291.41 × 133,675.86
  4. Step 4: Simplify right side
    229,169.10x = 42,280,526,242.36
  5. Step 5: Solve for x
    x = 42,280,526,242.36/229,169.10
  6. Step 6: Final answer
    x = 184,494.88

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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.