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Finding the Fourth Proportional to 235,584, 353,489.40 and 117,265.68

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Solution

The fourth proportional to 235,584, 353,489.40 and 117,265.68 is: 175,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,584 : 353,489.40 = 117,265.68 : x
  2. Step 2: Convert to fraction form
    235,584/353,489.40 = 117,265.68/x
  3. Step 3: Cross multiply
    235,584x = 353,489.40 × 117,265.68
  4. Step 4: Simplify right side
    235,584x = 41,452,174,863.79
  5. Step 5: Solve for x
    x = 41,452,174,863.79/235,584
  6. Step 6: Final answer
    x = 175,954.97

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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.