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Finding the Fourth Proportional to 133,952.75, 184,871.86 and 77,364.12

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Solution

The fourth proportional to 133,952.75, 184,871.86 and 77,364.12 is: 106,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,952.75 : 184,871.86 = 77,364.12 : x
  2. Step 2: Convert to fraction form
    133,952.75/184,871.86 = 77,364.12/x
  3. Step 3: Cross multiply
    133,952.75x = 184,871.86 × 77,364.12
  4. Step 4: Simplify right side
    133,952.75x = 14,302,449,261.52
  5. Step 5: Solve for x
    x = 14,302,449,261.52/133,952.75
  6. Step 6: Final answer
    x = 106,772.35

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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.