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Finding the Fourth Proportional to 235,609.56, 353,527.74 and 117,291.24

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Solution

The fourth proportional to 235,609.56, 353,527.74 and 117,291.24 is: 175,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,609.56 : 353,527.74 = 117,291.24 : x
  2. Step 2: Convert to fraction form
    235,609.56/353,527.74 = 117,291.24/x
  3. Step 3: Cross multiply
    235,609.56x = 353,527.74 × 117,291.24
  4. Step 4: Simplify right side
    235,609.56x = 41,465,706,999.00
  5. Step 5: Solve for x
    x = 41,465,706,999.00/235,609.56
  6. Step 6: Final answer
    x = 175,993.31

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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.