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Finding the Fourth Proportional to 119,307.54, 178,830.08 and 49,148.58

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Solution

The fourth proportional to 119,307.54, 178,830.08 and 49,148.58 is: 73,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,307.54 : 178,830.08 = 49,148.58 : x
  2. Step 2: Convert to fraction form
    119,307.54/178,830.08 = 49,148.58/x
  3. Step 3: Cross multiply
    119,307.54x = 178,830.08 × 49,148.58
  4. Step 4: Simplify right side
    119,307.54x = 8,789,244,493.29
  5. Step 5: Solve for x
    x = 8,789,244,493.29/119,307.54
  6. Step 6: Final answer
    x = 73,668.81

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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.