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Finding the Fourth Proportional to 232,738.54, 349,135.16 and 83,000.11

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Solution

The fourth proportional to 232,738.54, 349,135.16 and 83,000.11 is: 124,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,738.54 : 349,135.16 = 83,000.11 : x
  2. Step 2: Convert to fraction form
    232,738.54/349,135.16 = 83,000.11/x
  3. Step 3: Cross multiply
    232,738.54x = 349,135.16 × 83,000.11
  4. Step 4: Simplify right side
    232,738.54x = 28,978,256,684.87
  5. Step 5: Solve for x
    x = 28,978,256,684.87/232,738.54
  6. Step 6: Final answer
    x = 124,509.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.