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Finding the Fourth Proportional to 164,975.80, 247,415.10 and 65,102.80

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Solution

The fourth proportional to 164,975.80, 247,415.10 and 65,102.80 is: 97,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,975.80 : 247,415.10 = 65,102.80 : x
  2. Step 2: Convert to fraction form
    164,975.80/247,415.10 = 65,102.80/x
  3. Step 3: Cross multiply
    164,975.80x = 247,415.10 × 65,102.80
  4. Step 4: Simplify right side
    164,975.80x = 16,107,415,772.28
  5. Step 5: Solve for x
    x = 16,107,415,772.28/164,975.80
  6. Step 6: Final answer
    x = 97,635.02

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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.