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Finding the Fourth Proportional to 235,795.96, 353,585.66 and 75,842.43

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Solution

The fourth proportional to 235,795.96, 353,585.66 and 75,842.43 is: 113,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,795.96 : 353,585.66 = 75,842.43 : x
  2. Step 2: Convert to fraction form
    235,795.96/353,585.66 = 75,842.43/x
  3. Step 3: Cross multiply
    235,795.96x = 353,585.66 × 75,842.43
  4. Step 4: Simplify right side
    235,795.96x = 26,816,793,962.40
  5. Step 5: Solve for x
    x = 26,816,793,962.40/235,795.96
  6. Step 6: Final answer
    x = 113,728.81

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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.