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Finding the Fourth Proportional to 194,895.20, 292,342.80 and 110,622.80

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Solution

The fourth proportional to 194,895.20, 292,342.80 and 110,622.80 is: 165,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,895.20 : 292,342.80 = 110,622.80 : x
  2. Step 2: Convert to fraction form
    194,895.20/292,342.80 = 110,622.80/x
  3. Step 3: Cross multiply
    194,895.20x = 292,342.80 × 110,622.80
  4. Step 4: Simplify right side
    194,895.20x = 32,339,779,095.84
  5. Step 5: Solve for x
    x = 32,339,779,095.84/194,895.20
  6. Step 6: Final answer
    x = 165,934.20

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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.