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Finding the Fourth Proportional to 133,201.71, 199,802.57 and 54,322.11

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Solution

The fourth proportional to 133,201.71, 199,802.57 and 54,322.11 is: 81,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,201.71 : 199,802.57 = 54,322.11 : x
  2. Step 2: Convert to fraction form
    133,201.71/199,802.57 = 54,322.11/x
  3. Step 3: Cross multiply
    133,201.71x = 199,802.57 × 54,322.11
  4. Step 4: Simplify right side
    133,201.71x = 10,853,696,914.21
  5. Step 5: Solve for x
    x = 10,853,696,914.21/133,201.71
  6. Step 6: Final answer
    x = 81,483.17

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Why These Related Problems?

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