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Finding the Fourth Proportional to 119,209.96, 178,863.90 and 56,840.68

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Solution

The fourth proportional to 119,209.96, 178,863.90 and 56,840.68 is: 85,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,209.96 : 178,863.90 = 56,840.68 : x
  2. Step 2: Convert to fraction form
    119,209.96/178,863.90 = 56,840.68/x
  3. Step 3: Cross multiply
    119,209.96x = 178,863.90 × 56,840.68
  4. Step 4: Simplify right side
    119,209.96x = 10,166,745,703.45
  5. Step 5: Solve for x
    x = 10,166,745,703.45/119,209.96
  6. Step 6: Final answer
    x = 85,284.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.