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Finding the Fourth Proportional to 133,525.76, 184,262.40 and 76,968.96

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Solution

The fourth proportional to 133,525.76, 184,262.40 and 76,968.96 is: 106,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,525.76 : 184,262.40 = 76,968.96 : x
  2. Step 2: Convert to fraction form
    133,525.76/184,262.40 = 76,968.96/x
  3. Step 3: Cross multiply
    133,525.76x = 184,262.40 × 76,968.96
  4. Step 4: Simplify right side
    133,525.76x = 14,182,485,295.10
  5. Step 5: Solve for x
    x = 14,182,485,295.10/133,525.76
  6. Step 6: Final answer
    x = 106,215.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.