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Finding the Fourth Proportional to 133,558.52, 184,319.70 and 76,973.72

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Solution

The fourth proportional to 133,558.52, 184,319.70 and 76,973.72 is: 106,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,558.52 : 184,319.70 = 76,973.72 : x
  2. Step 2: Convert to fraction form
    133,558.52/184,319.70 = 76,973.72/x
  3. Step 3: Cross multiply
    133,558.52x = 184,319.70 × 76,973.72
  4. Step 4: Simplify right side
    133,558.52x = 14,187,772,978.28
  5. Step 5: Solve for x
    x = 14,187,772,978.28/133,558.52
  6. Step 6: Final answer
    x = 106,228.89

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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.