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Finding the Fourth Proportional to 152,993.66, 229,490.43 and 47,812.62

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Solution

The fourth proportional to 152,993.66, 229,490.43 and 47,812.62 is: 71,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,993.66 : 229,490.43 = 47,812.62 : x
  2. Step 2: Convert to fraction form
    152,993.66/229,490.43 = 47,812.62/x
  3. Step 3: Cross multiply
    152,993.66x = 229,490.43 × 47,812.62
  4. Step 4: Simplify right side
    152,993.66x = 10,972,538,723.23
  5. Step 5: Solve for x
    x = 10,972,538,723.23/152,993.66
  6. Step 6: Final answer
    x = 71,718.91

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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.