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Finding the Fourth Proportional to 105,204.80, 157,668.96 and 49,816.64

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Solution

The fourth proportional to 105,204.80, 157,668.96 and 49,816.64 is: 74,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,204.80 : 157,668.96 = 49,816.64 : x
  2. Step 2: Convert to fraction form
    105,204.80/157,668.96 = 49,816.64/x
  3. Step 3: Cross multiply
    105,204.80x = 157,668.96 × 49,816.64
  4. Step 4: Simplify right side
    105,204.80x = 7,854,537,819.49
  5. Step 5: Solve for x
    x = 7,854,537,819.49/105,204.80
  6. Step 6: Final answer
    x = 74,659.50

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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.