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Finding the Fourth Proportional to 164,777.10, 247,165.65 and 76,203.60

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Solution

The fourth proportional to 164,777.10, 247,165.65 and 76,203.60 is: 114,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,777.10 : 247,165.65 = 76,203.60 : x
  2. Step 2: Convert to fraction form
    164,777.10/247,165.65 = 76,203.60/x
  3. Step 3: Cross multiply
    164,777.10x = 247,165.65 × 76,203.60
  4. Step 4: Simplify right side
    164,777.10x = 18,834,912,326.34
  5. Step 5: Solve for x
    x = 18,834,912,326.34/164,777.10
  6. Step 6: Final answer
    x = 114,305.40

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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.