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Finding the Fourth Proportional to 119,295.62, 178,913.92 and 71,277.34

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Solution

The fourth proportional to 119,295.62, 178,913.92 and 71,277.34 is: 106,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.62 : 178,913.92 = 71,277.34 : x
  2. Step 2: Convert to fraction form
    119,295.62/178,913.92 = 71,277.34/x
  3. Step 3: Cross multiply
    119,295.62x = 178,913.92 × 71,277.34
  4. Step 4: Simplify right side
    119,295.62x = 12,752,507,681.09
  5. Step 5: Solve for x
    x = 12,752,507,681.09/119,295.62
  6. Step 6: Final answer
    x = 106,898.37

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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.