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Finding the Fourth Proportional to 140,779.76, 194,186.57 and 92,384.82

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Solution

The fourth proportional to 140,779.76, 194,186.57 and 92,384.82 is: 127,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,779.76 : 194,186.57 = 92,384.82 : x
  2. Step 2: Convert to fraction form
    140,779.76/194,186.57 = 92,384.82/x
  3. Step 3: Cross multiply
    140,779.76x = 194,186.57 × 92,384.82
  4. Step 4: Simplify right side
    140,779.76x = 17,939,890,853.94
  5. Step 5: Solve for x
    x = 17,939,890,853.94/140,779.76
  6. Step 6: Final answer
    x = 127,432.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.