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Finding the Fourth Proportional to 119,277.10, 164,617.95 and 76,958.74

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Solution

The fourth proportional to 119,277.10, 164,617.95 and 76,958.74 is: 106,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,277.10 : 164,617.95 = 76,958.74 : x
  2. Step 2: Convert to fraction form
    119,277.10/164,617.95 = 76,958.74/x
  3. Step 3: Cross multiply
    119,277.10x = 164,617.95 × 76,958.74
  4. Step 4: Simplify right side
    119,277.10x = 12,668,790,013.38
  5. Step 5: Solve for x
    x = 12,668,790,013.38/119,277.10
  6. Step 6: Final answer
    x = 106,213.10

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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.