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Finding the Fourth Proportional to 232,993.20, 321,638.92 and 175,655.82

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Solution

The fourth proportional to 232,993.20, 321,638.92 and 175,655.82 is: 242,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,993.20 : 321,638.92 = 175,655.82 : x
  2. Step 2: Convert to fraction form
    232,993.20/321,638.92 = 175,655.82/x
  3. Step 3: Cross multiply
    232,993.20x = 321,638.92 × 175,655.82
  4. Step 4: Simplify right side
    232,993.20x = 56,497,748,236.51
  5. Step 5: Solve for x
    x = 56,497,748,236.51/232,993.20
  6. Step 6: Final answer
    x = 242,486.68

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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.