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Finding the Fourth Proportional to 133,097.17, 183,678.11 and 75,744.72

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Solution

The fourth proportional to 133,097.17, 183,678.11 and 75,744.72 is: 104,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097.17 : 183,678.11 = 75,744.72 : x
  2. Step 2: Convert to fraction form
    133,097.17/183,678.11 = 75,744.72/x
  3. Step 3: Cross multiply
    133,097.17x = 183,678.11 × 75,744.72
  4. Step 4: Simplify right side
    133,097.17x = 13,912,645,904.33
  5. Step 5: Solve for x
    x = 13,912,645,904.33/133,097.17
  6. Step 6: Final answer
    x = 104,529.99

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Why These Related Problems?

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