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Finding the Fourth Proportional to 193,475.34, 290,053.08 and 73,507.46

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Solution

The fourth proportional to 193,475.34, 290,053.08 and 73,507.46 is: 110,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,475.34 : 290,053.08 = 73,507.46 : x
  2. Step 2: Convert to fraction form
    193,475.34/290,053.08 = 73,507.46/x
  3. Step 3: Cross multiply
    193,475.34x = 290,053.08 × 73,507.46
  4. Step 4: Simplify right side
    193,475.34x = 21,321,063,725.71
  5. Step 5: Solve for x
    x = 21,321,063,725.71/193,475.34
  6. Step 6: Final answer
    x = 110,200.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.