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Finding the Fourth Proportional to 164,739.60, 247,051.80 and 85,827.60

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Solution

The fourth proportional to 164,739.60, 247,051.80 and 85,827.60 is: 128,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,739.60 : 247,051.80 = 85,827.60 : x
  2. Step 2: Convert to fraction form
    164,739.60/247,051.80 = 85,827.60/x
  3. Step 3: Cross multiply
    164,739.60x = 247,051.80 × 85,827.60
  4. Step 4: Simplify right side
    164,739.60x = 21,203,863,069.68
  5. Step 5: Solve for x
    x = 21,203,863,069.68/164,739.60
  6. Step 6: Final answer
    x = 128,711.39

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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.