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Finding the Fourth Proportional to 232,887, 321,384.06 and 126,903

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Solution

The fourth proportional to 232,887, 321,384.06 and 126,903 is: 175,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,887 : 321,384.06 = 126,903 : x
  2. Step 2: Convert to fraction form
    232,887/321,384.06 = 126,903/x
  3. Step 3: Cross multiply
    232,887x = 321,384.06 × 126,903
  4. Step 4: Simplify right side
    232,887x = 40,784,601,366.18
  5. Step 5: Solve for x
    x = 40,784,601,366.18/232,887
  6. Step 6: Final answer
    x = 175,126.14

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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.