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Finding the Fourth Proportional to 233,505.30, 350,097.90 and 83,742.36

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Solution

The fourth proportional to 233,505.30, 350,097.90 and 83,742.36 is: 125,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,505.30 : 350,097.90 = 83,742.36 : x
  2. Step 2: Convert to fraction form
    233,505.30/350,097.90 = 83,742.36/x
  3. Step 3: Cross multiply
    233,505.30x = 350,097.90 × 83,742.36
  4. Step 4: Simplify right side
    233,505.30x = 29,318,024,377.04
  5. Step 5: Solve for x
    x = 29,318,024,377.04/233,505.30
  6. Step 6: Final answer
    x = 125,556.14

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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.