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Finding the Fourth Proportional to 277,918.81, 416,841.31 and 78,254.76

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Solution

The fourth proportional to 277,918.81, 416,841.31 and 78,254.76 is: 117,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,918.81 : 416,841.31 = 78,254.76 : x
  2. Step 2: Convert to fraction form
    277,918.81/416,841.31 = 78,254.76/x
  3. Step 3: Cross multiply
    277,918.81x = 416,841.31 × 78,254.76
  4. Step 4: Simplify right side
    277,918.81x = 32,619,816,672.14
  5. Step 5: Solve for x
    x = 32,619,816,672.14/277,918.81
  6. Step 6: Final answer
    x = 117,371.75

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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.