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Finding the Fourth Proportional to 232,411.98, 320,739.03 and 182,023.50

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Solution

The fourth proportional to 232,411.98, 320,739.03 and 182,023.50 is: 251,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,411.98 : 320,739.03 = 182,023.50 : x
  2. Step 2: Convert to fraction form
    232,411.98/320,739.03 = 182,023.50/x
  3. Step 3: Cross multiply
    232,411.98x = 320,739.03 × 182,023.50
  4. Step 4: Simplify right side
    232,411.98x = 58,382,040,827.21
  5. Step 5: Solve for x
    x = 58,382,040,827.21/232,411.98
  6. Step 6: Final answer
    x = 251,200.65

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1.5x scale

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.