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Finding the Fourth Proportional to 230,115.60, 344,779.20 and 182,876.40

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Solution

The fourth proportional to 230,115.60, 344,779.20 and 182,876.40 is: 274,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,115.60 : 344,779.20 = 182,876.40 : x
  2. Step 2: Convert to fraction form
    230,115.60/344,779.20 = 182,876.40/x
  3. Step 3: Cross multiply
    230,115.60x = 344,779.20 × 182,876.40
  4. Step 4: Simplify right side
    230,115.60x = 63,051,978,890.88
  5. Step 5: Solve for x
    x = 63,051,978,890.88/230,115.60
  6. Step 6: Final answer
    x = 274,001.32

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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.