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Finding the Fourth Proportional to 233,053.50, 321,614.19 and 132,451.50

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Solution

The fourth proportional to 233,053.50, 321,614.19 and 132,451.50 is: 182,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,053.50 : 321,614.19 = 132,451.50 : x
  2. Step 2: Convert to fraction form
    233,053.50/321,614.19 = 132,451.50/x
  3. Step 3: Cross multiply
    233,053.50x = 321,614.19 × 132,451.50
  4. Step 4: Simplify right side
    233,053.50x = 42,598,281,886.79
  5. Step 5: Solve for x
    x = 42,598,281,886.79/233,053.50
  6. Step 6: Final answer
    x = 182,783.27

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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.