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Finding the Fourth Proportional to 234,597.38, 323,742.56 and 127,164.65

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Solution

The fourth proportional to 234,597.38, 323,742.56 and 127,164.65 is: 175,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,597.38 : 323,742.56 = 127,164.65 : x
  2. Step 2: Convert to fraction form
    234,597.38/323,742.56 = 127,164.65/x
  3. Step 3: Cross multiply
    234,597.38x = 323,742.56 × 127,164.65
  4. Step 4: Simplify right side
    234,597.38x = 41,168,607,077.97
  5. Step 5: Solve for x
    x = 41,168,607,077.97/234,597.38
  6. Step 6: Final answer
    x = 175,486.22

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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.