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Finding the Fourth Proportional to 277,681.27, 416,672.61 and 117,847.11

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Solution

The fourth proportional to 277,681.27, 416,672.61 and 117,847.11 is: 176,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,681.27 : 416,672.61 = 117,847.11 : x
  2. Step 2: Convert to fraction form
    277,681.27/416,672.61 = 117,847.11/x
  3. Step 3: Cross multiply
    277,681.27x = 416,672.61 × 117,847.11
  4. Step 4: Simplify right side
    277,681.27x = 49,103,662,853.36
  5. Step 5: Solve for x
    x = 49,103,662,853.36/277,681.27
  6. Step 6: Final answer
    x = 176,834.62

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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.