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Finding the Fourth Proportional to 119,090.84, 164,311.68 and 76,673.92

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Solution

The fourth proportional to 119,090.84, 164,311.68 and 76,673.92 is: 105,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,090.84 : 164,311.68 = 76,673.92 : x
  2. Step 2: Convert to fraction form
    119,090.84/164,311.68 = 76,673.92/x
  3. Step 3: Cross multiply
    119,090.84x = 164,311.68 × 76,673.92
  4. Step 4: Simplify right side
    119,090.84x = 12,598,420,607.39
  5. Step 5: Solve for x
    x = 12,598,420,607.39/119,090.84
  6. Step 6: Final answer
    x = 105,788.33

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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.