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Finding the Fourth Proportional to 119,103.40, 178,587.06 and 48,925

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Solution

The fourth proportional to 119,103.40, 178,587.06 and 48,925 is: 73,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,103.40 : 178,587.06 = 48,925 : x
  2. Step 2: Convert to fraction form
    119,103.40/178,587.06 = 48,925/x
  3. Step 3: Cross multiply
    119,103.40x = 178,587.06 × 48,925
  4. Step 4: Simplify right side
    119,103.40x = 8,737,371,910.50
  5. Step 5: Solve for x
    x = 8,737,371,910.50/119,103.40
  6. Step 6: Final answer
    x = 73,359.55

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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.