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Finding the Fourth Proportional to 133,917.71, 200,888.35 and 49,678.79

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Solution

The fourth proportional to 133,917.71, 200,888.35 and 49,678.79 is: 74,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,917.71 : 200,888.35 = 49,678.79 : x
  2. Step 2: Convert to fraction form
    133,917.71/200,888.35 = 49,678.79/x
  3. Step 3: Cross multiply
    133,917.71x = 200,888.35 × 49,678.79
  4. Step 4: Simplify right side
    133,917.71x = 9,979,889,024.46
  5. Step 5: Solve for x
    x = 9,979,889,024.46/133,917.71
  6. Step 6: Final answer
    x = 74,522.55

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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.