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Finding the Fourth Proportional to 277,776.81, 416,689.83 and 78,098.94

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Solution

The fourth proportional to 277,776.81, 416,689.83 and 78,098.94 is: 117,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,776.81 : 416,689.83 = 78,098.94 : x
  2. Step 2: Convert to fraction form
    277,776.81/416,689.83 = 78,098.94/x
  3. Step 3: Cross multiply
    277,776.81x = 416,689.83 × 78,098.94
  4. Step 4: Simplify right side
    277,776.81x = 32,543,034,031.78
  5. Step 5: Solve for x
    x = 32,543,034,031.78/277,776.81
  6. Step 6: Final answer
    x = 117,155.33

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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.