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Finding the Fourth Proportional to 152,926.92, 229,390.36 and 47,754.88

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Solution

The fourth proportional to 152,926.92, 229,390.36 and 47,754.88 is: 71,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,926.92 : 229,390.36 = 47,754.88 : x
  2. Step 2: Convert to fraction form
    152,926.92/229,390.36 = 47,754.88/x
  3. Step 3: Cross multiply
    152,926.92x = 229,390.36 × 47,754.88
  4. Step 4: Simplify right side
    152,926.92x = 10,954,509,114.96
  5. Step 5: Solve for x
    x = 10,954,509,114.96/152,926.92
  6. Step 6: Final answer
    x = 71,632.31

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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.