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Finding the Fourth Proportional to 113,856.60, 170,784.90 and 100,734.60

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Solution

The fourth proportional to 113,856.60, 170,784.90 and 100,734.60 is: 151,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,856.60 : 170,784.90 = 100,734.60 : x
  2. Step 2: Convert to fraction form
    113,856.60/170,784.90 = 100,734.60/x
  3. Step 3: Cross multiply
    113,856.60x = 170,784.90 × 100,734.60
  4. Step 4: Simplify right side
    113,856.60x = 17,203,948,587.54
  5. Step 5: Solve for x
    x = 17,203,948,587.54/113,856.60
  6. Step 6: Final answer
    x = 151,101.90

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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.