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Finding the Fourth Proportional to 164,856.60, 246,628.80 and 142,913.70

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Solution

The fourth proportional to 164,856.60, 246,628.80 and 142,913.70 is: 213,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,856.60 : 246,628.80 = 142,913.70 : x
  2. Step 2: Convert to fraction form
    164,856.60/246,628.80 = 142,913.70/x
  3. Step 3: Cross multiply
    164,856.60x = 246,628.80 × 142,913.70
  4. Step 4: Simplify right side
    164,856.60x = 35,246,634,334.56
  5. Step 5: Solve for x
    x = 35,246,634,334.56/164,856.60
  6. Step 6: Final answer
    x = 213,801.78

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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.