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Finding the Fourth Proportional to 233,092.23, 321,815.14 and 159,627.63

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Solution

The fourth proportional to 233,092.23, 321,815.14 and 159,627.63 is: 220,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,092.23 : 321,815.14 = 159,627.63 : x
  2. Step 2: Convert to fraction form
    233,092.23/321,815.14 = 159,627.63/x
  3. Step 3: Cross multiply
    233,092.23x = 321,815.14 × 159,627.63
  4. Step 4: Simplify right side
    233,092.23x = 51,370,588,096.32
  5. Step 5: Solve for x
    x = 51,370,588,096.32/233,092.23
  6. Step 6: Final answer
    x = 220,387.39

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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.