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Finding the Fourth Proportional to 233,204.76, 321,821.10 and 132,602.76

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Solution

The fourth proportional to 233,204.76, 321,821.10 and 132,602.76 is: 182,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,204.76 : 321,821.10 = 132,602.76 : x
  2. Step 2: Convert to fraction form
    233,204.76/321,821.10 = 132,602.76/x
  3. Step 3: Cross multiply
    233,204.76x = 321,821.10 × 132,602.76
  4. Step 4: Simplify right side
    233,204.76x = 42,674,366,086.24
  5. Step 5: Solve for x
    x = 42,674,366,086.24/233,204.76
  6. Step 6: Final answer
    x = 182,990.97

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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.