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Finding the Fourth Proportional to 234,071.10, 323,018.19 and 126,641.07

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Solution

The fourth proportional to 234,071.10, 323,018.19 and 126,641.07 is: 174,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,071.10 : 323,018.19 = 126,641.07 : x
  2. Step 2: Convert to fraction form
    234,071.10/323,018.19 = 126,641.07/x
  3. Step 3: Cross multiply
    234,071.10x = 323,018.19 × 126,641.07
  4. Step 4: Simplify right side
    234,071.10x = 40,907,369,211.06
  5. Step 5: Solve for x
    x = 40,907,369,211.06/234,071.10
  6. Step 6: Final answer
    x = 174,764.72

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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.