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Finding the Fourth Proportional to 148,980.92, 223,423.92 and 49,122.48

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Solution

The fourth proportional to 148,980.92, 223,423.92 and 49,122.48 is: 73,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980.92 : 223,423.92 = 49,122.48 : x
  2. Step 2: Convert to fraction form
    148,980.92/223,423.92 = 49,122.48/x
  3. Step 3: Cross multiply
    148,980.92x = 223,423.92 × 49,122.48
  4. Step 4: Simplify right side
    148,980.92x = 10,975,137,041.72
  5. Step 5: Solve for x
    x = 10,975,137,041.72/148,980.92
  6. Step 6: Final answer
    x = 73,668.07

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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.