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Finding the Fourth Proportional to 119,482.91, 164,863.64 and 76,429.43

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Solution

The fourth proportional to 119,482.91, 164,863.64 and 76,429.43 is: 105,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,482.91 : 164,863.64 = 76,429.43 : x
  2. Step 2: Convert to fraction form
    119,482.91/164,863.64 = 76,429.43/x
  3. Step 3: Cross multiply
    119,482.91x = 164,863.64 × 76,429.43
  4. Step 4: Simplify right side
    119,482.91x = 12,600,432,826.46
  5. Step 5: Solve for x
    x = 12,600,432,826.46/119,482.91
  6. Step 6: Final answer
    x = 105,458.04

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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.