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Finding the Fourth Proportional to 164,865.60, 247,528.80 and 102,657.60

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Solution

The fourth proportional to 164,865.60, 247,528.80 and 102,657.60 is: 154,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,865.60 : 247,528.80 = 102,657.60 : x
  2. Step 2: Convert to fraction form
    164,865.60/247,528.80 = 102,657.60/x
  3. Step 3: Cross multiply
    164,865.60x = 247,528.80 × 102,657.60
  4. Step 4: Simplify right side
    164,865.60x = 25,410,712,538.88
  5. Step 5: Solve for x
    x = 25,410,712,538.88/164,865.60
  6. Step 6: Final answer
    x = 154,129.86

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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.