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Finding the Fourth Proportional to 119,815.76, 179,746.68 and 45,938

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Solution

The fourth proportional to 119,815.76, 179,746.68 and 45,938 is: 68,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,815.76 : 179,746.68 = 45,938 : x
  2. Step 2: Convert to fraction form
    119,815.76/179,746.68 = 45,938/x
  3. Step 3: Cross multiply
    119,815.76x = 179,746.68 × 45,938
  4. Step 4: Simplify right side
    119,815.76x = 8,257,202,985.84
  5. Step 5: Solve for x
    x = 8,257,202,985.84/119,815.76
  6. Step 6: Final answer
    x = 68,915.83

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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.