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Finding the Fourth Proportional to 233,728.54, 322,491.83 and 147,583.98

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Solution

The fourth proportional to 233,728.54, 322,491.83 and 147,583.98 is: 203,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,728.54 : 322,491.83 = 147,583.98 : x
  2. Step 2: Convert to fraction form
    233,728.54/322,491.83 = 147,583.98/x
  3. Step 3: Cross multiply
    233,728.54x = 322,491.83 × 147,583.98
  4. Step 4: Simplify right side
    233,728.54x = 47,594,627,788.88
  5. Step 5: Solve for x
    x = 47,594,627,788.88/233,728.54
  6. Step 6: Final answer
    x = 203,632.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.