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Finding the Fourth Proportional to 110,299, 165,432.88 and 35,409.28

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Solution

The fourth proportional to 110,299, 165,432.88 and 35,409.28 is: 53,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,299 : 165,432.88 = 35,409.28 : x
  2. Step 2: Convert to fraction form
    110,299/165,432.88 = 35,409.28/x
  3. Step 3: Cross multiply
    110,299x = 165,432.88 × 35,409.28
  4. Step 4: Simplify right side
    110,299x = 5,857,859,494.19
  5. Step 5: Solve for x
    x = 5,857,859,494.19/110,299
  6. Step 6: Final answer
    x = 53,108.91

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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.