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Finding the Fourth Proportional to 133,182, 199,802.16 and 50,076

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Solution

The fourth proportional to 133,182, 199,802.16 and 50,076 is: 75,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,182 : 199,802.16 = 50,076 : x
  2. Step 2: Convert to fraction form
    133,182/199,802.16 = 50,076/x
  3. Step 3: Cross multiply
    133,182x = 199,802.16 × 50,076
  4. Step 4: Simplify right side
    133,182x = 10,005,292,964.16
  5. Step 5: Solve for x
    x = 10,005,292,964.16/133,182
  6. Step 6: Final answer
    x = 75,124.96

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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.