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Finding the Fourth Proportional to 133,925.88, 184,771.90 and 76,524

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Solution

The fourth proportional to 133,925.88, 184,771.90 and 76,524 is: 105,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,925.88 : 184,771.90 = 76,524 : x
  2. Step 2: Convert to fraction form
    133,925.88/184,771.90 = 76,524/x
  3. Step 3: Cross multiply
    133,925.88x = 184,771.90 × 76,524
  4. Step 4: Simplify right side
    133,925.88x = 14,139,484,875.60
  5. Step 5: Solve for x
    x = 14,139,484,875.60/133,925.88
  6. Step 6: Final answer
    x = 105,576.94

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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.