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Finding the Fourth Proportional to 194,895.86, 292,460.40 and 84,087.86

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Solution

The fourth proportional to 194,895.86, 292,460.40 and 84,087.86 is: 126,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,895.86 : 292,460.40 = 84,087.86 : x
  2. Step 2: Convert to fraction form
    194,895.86/292,460.40 = 84,087.86/x
  3. Step 3: Cross multiply
    194,895.86x = 292,460.40 × 84,087.86
  4. Step 4: Simplify right side
    194,895.86x = 24,592,367,708.44
  5. Step 5: Solve for x
    x = 24,592,367,708.44/194,895.86
  6. Step 6: Final answer
    x = 126,182.10

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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.