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Finding the Fourth Proportional to 133,046.65, 199,464 and 76,822.93

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Solution

The fourth proportional to 133,046.65, 199,464 and 76,822.93 is: 115,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046.65 : 199,464 = 76,822.93 : x
  2. Step 2: Convert to fraction form
    133,046.65/199,464 = 76,822.93/x
  3. Step 3: Cross multiply
    133,046.65x = 199,464 × 76,822.93
  4. Step 4: Simplify right side
    133,046.65x = 15,323,408,909.52
  5. Step 5: Solve for x
    x = 15,323,408,909.52/133,046.65
  6. Step 6: Final answer
    x = 115,173.20

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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.