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Finding the Fourth Proportional to 119,219.64, 164,454.67 and 74,429.88

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Solution

The fourth proportional to 119,219.64, 164,454.67 and 74,429.88 is: 102,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,219.64 : 164,454.67 = 74,429.88 : x
  2. Step 2: Convert to fraction form
    119,219.64/164,454.67 = 74,429.88/x
  3. Step 3: Cross multiply
    119,219.64x = 164,454.67 × 74,429.88
  4. Step 4: Simplify right side
    119,219.64x = 12,240,341,353.54
  5. Step 5: Solve for x
    x = 12,240,341,353.54/119,219.64
  6. Step 6: Final answer
    x = 102,670.51

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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.