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Finding the Fourth Proportional to 110,414.58, 165,659.67 and 47,208.66

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Solution

The fourth proportional to 110,414.58, 165,659.67 and 47,208.66 is: 70,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,414.58 : 165,659.67 = 47,208.66 : x
  2. Step 2: Convert to fraction form
    110,414.58/165,659.67 = 47,208.66/x
  3. Step 3: Cross multiply
    110,414.58x = 165,659.67 × 47,208.66
  4. Step 4: Simplify right side
    110,414.58x = 7,820,571,036.74
  5. Step 5: Solve for x
    x = 7,820,571,036.74/110,414.58
  6. Step 6: Final answer
    x = 70,829.15

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1.5x scale

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.