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Finding the Fourth Proportional to 133,658.83, 184,425.74 and 76,271.95

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Solution

The fourth proportional to 133,658.83, 184,425.74 and 76,271.95 is: 105,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,658.83 : 184,425.74 = 76,271.95 : x
  2. Step 2: Convert to fraction form
    133,658.83/184,425.74 = 76,271.95/x
  3. Step 3: Cross multiply
    133,658.83x = 184,425.74 × 76,271.95
  4. Step 4: Simplify right side
    133,658.83x = 14,066,510,819.99
  5. Step 5: Solve for x
    x = 14,066,510,819.99/133,658.83
  6. Step 6: Final answer
    x = 105,241.91

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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.