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Finding the Fourth Proportional to 119,411.96, 164,676.66 and 74,097.32

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Solution

The fourth proportional to 119,411.96, 164,676.66 and 74,097.32 is: 102,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,411.96 : 164,676.66 = 74,097.32 : x
  2. Step 2: Convert to fraction form
    119,411.96/164,676.66 = 74,097.32/x
  3. Step 3: Cross multiply
    119,411.96x = 164,676.66 × 74,097.32
  4. Step 4: Simplify right side
    119,411.96x = 12,202,099,172.55
  5. Step 5: Solve for x
    x = 12,202,099,172.55/119,411.96
  6. Step 6: Final answer
    x = 102,184.90

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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.