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Finding the Fourth Proportional to 133,216.64, 183,836.82 and 72,786

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Solution

The fourth proportional to 133,216.64, 183,836.82 and 72,786 is: 100,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,216.64 : 183,836.82 = 72,786 : x
  2. Step 2: Convert to fraction form
    133,216.64/183,836.82 = 72,786/x
  3. Step 3: Cross multiply
    133,216.64x = 183,836.82 × 72,786
  4. Step 4: Simplify right side
    133,216.64x = 13,380,746,780.52
  5. Step 5: Solve for x
    x = 13,380,746,780.52/133,216.64
  6. Step 6: Final answer
    x = 100,443.51

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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.