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Finding the Fourth Proportional to 133,205.86, 183,824.10 and 76,617.24

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Solution

The fourth proportional to 133,205.86, 183,824.10 and 76,617.24 is: 105,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.86 : 183,824.10 = 76,617.24 : x
  2. Step 2: Convert to fraction form
    133,205.86/183,824.10 = 76,617.24/x
  3. Step 3: Cross multiply
    133,205.86x = 183,824.10 × 76,617.24
  4. Step 4: Simplify right side
    133,205.86x = 14,084,095,187.48
  5. Step 5: Solve for x
    x = 14,084,095,187.48/133,205.86
  6. Step 6: Final answer
    x = 105,731.80

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