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Finding the Fourth Proportional to 119,169.90, 178,779.36 and 34,932.78

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Solution

The fourth proportional to 119,169.90, 178,779.36 and 34,932.78 is: 52,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,169.90 : 178,779.36 = 34,932.78 : x
  2. Step 2: Convert to fraction form
    119,169.90/178,779.36 = 34,932.78/x
  3. Step 3: Cross multiply
    119,169.90x = 178,779.36 × 34,932.78
  4. Step 4: Simplify right side
    119,169.90x = 6,245,260,051.42
  5. Step 5: Solve for x
    x = 6,245,260,051.42/119,169.90
  6. Step 6: Final answer
    x = 52,406.35

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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.