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Finding the Fourth Proportional to 119,486.32, 164,822.79 and 74,696.56

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Solution

The fourth proportional to 119,486.32, 164,822.79 and 74,696.56 is: 103,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,486.32 : 164,822.79 = 74,696.56 : x
  2. Step 2: Convert to fraction form
    119,486.32/164,822.79 = 74,696.56/x
  3. Step 3: Cross multiply
    119,486.32x = 164,822.79 × 74,696.56
  4. Step 4: Simplify right side
    119,486.32x = 12,311,695,422.60
  5. Step 5: Solve for x
    x = 12,311,695,422.60/119,486.32
  6. Step 6: Final answer
    x = 103,038.54

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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.