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Finding the Fourth Proportional to 110,100.05, 165,150.08 and 83,856.05

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Solution

The fourth proportional to 110,100.05, 165,150.08 and 83,856.05 is: 125,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,100.05 : 165,150.08 = 83,856.05 : x
  2. Step 2: Convert to fraction form
    110,100.05/165,150.08 = 83,856.05/x
  3. Step 3: Cross multiply
    110,100.05x = 165,150.08 × 83,856.05
  4. Step 4: Simplify right side
    110,100.05x = 13,848,832,946.70
  5. Step 5: Solve for x
    x = 13,848,832,946.70/110,100.05
  6. Step 6: Final answer
    x = 125,784.08

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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.