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Finding the Fourth Proportional to 232,641.56, 321,030.57 and 130,664.38

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Solution

The fourth proportional to 232,641.56, 321,030.57 and 130,664.38 is: 180,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,641.56 : 321,030.57 = 130,664.38 : x
  2. Step 2: Convert to fraction form
    232,641.56/321,030.57 = 130,664.38/x
  3. Step 3: Cross multiply
    232,641.56x = 321,030.57 × 130,664.38
  4. Step 4: Simplify right side
    232,641.56x = 41,947,260,390.10
  5. Step 5: Solve for x
    x = 41,947,260,390.10/232,641.56
  6. Step 6: Final answer
    x = 180,308.54

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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.