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Finding the Fourth Proportional to 194,804.41, 291,985.35 and 82,414.48

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Solution

The fourth proportional to 194,804.41, 291,985.35 and 82,414.48 is: 123,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,804.41 : 291,985.35 = 82,414.48 : x
  2. Step 2: Convert to fraction form
    194,804.41/291,985.35 = 82,414.48/x
  3. Step 3: Cross multiply
    194,804.41x = 291,985.35 × 82,414.48
  4. Step 4: Simplify right side
    194,804.41x = 24,063,820,787.87
  5. Step 5: Solve for x
    x = 24,063,820,787.87/194,804.41
  6. Step 6: Final answer
    x = 123,528.11

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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.