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Finding the Fourth Proportional to 133,414.66, 184,113.68 and 72,984.00

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Solution

The fourth proportional to 133,414.66, 184,113.68 and 72,984.00 is: 100,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,414.66 : 184,113.68 = 72,984.00 : x
  2. Step 2: Convert to fraction form
    133,414.66/184,113.68 = 72,984.00/x
  3. Step 3: Cross multiply
    133,414.66x = 184,113.68 × 72,984.00
  4. Step 4: Simplify right side
    133,414.66x = 13,437,353,190.17
  5. Step 5: Solve for x
    x = 13,437,353,190.17/133,414.66
  6. Step 6: Final answer
    x = 100,718.72

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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.