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Finding the Fourth Proportional to 232,716, 321,150.08 and 130,743.48

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Solution

The fourth proportional to 232,716, 321,150.08 and 130,743.48 is: 180,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,716 : 321,150.08 = 130,743.48 : x
  2. Step 2: Convert to fraction form
    232,716/321,150.08 = 130,743.48/x
  3. Step 3: Cross multiply
    232,716x = 321,150.08 × 130,743.48
  4. Step 4: Simplify right side
    232,716x = 41,988,279,061.48
  5. Step 5: Solve for x
    x = 41,988,279,061.48/232,716
  6. Step 6: Final answer
    x = 180,427.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.