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Finding the Fourth Proportional to 153,323.86, 230,022.78 and 48,142.81

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Solution

The fourth proportional to 153,323.86, 230,022.78 and 48,142.81 is: 72,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,323.86 : 230,022.78 = 48,142.81 : x
  2. Step 2: Convert to fraction form
    153,323.86/230,022.78 = 48,142.81/x
  3. Step 3: Cross multiply
    153,323.86x = 230,022.78 × 48,142.81
  4. Step 4: Simplify right side
    153,323.86x = 11,073,942,993.21
  5. Step 5: Solve for x
    x = 11,073,942,993.21/153,323.86
  6. Step 6: Final answer
    x = 72,225.83

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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.