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Finding the Fourth Proportional to 185,056.08, 277,578.14 and 78,411.54

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Solution

The fourth proportional to 185,056.08, 277,578.14 and 78,411.54 is: 117,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,056.08 : 277,578.14 = 78,411.54 : x
  2. Step 2: Convert to fraction form
    185,056.08/277,578.14 = 78,411.54/x
  3. Step 3: Cross multiply
    185,056.08x = 277,578.14 × 78,411.54
  4. Step 4: Simplify right side
    185,056.08x = 21,765,329,427.74
  5. Step 5: Solve for x
    x = 21,765,329,427.74/185,056.08
  6. Step 6: Final answer
    x = 117,614.78

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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.