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Finding the Fourth Proportional to 102,609.90, 141,590.87 and 59,580.98

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Solution

The fourth proportional to 102,609.90, 141,590.87 and 59,580.98 is: 82,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,609.90 : 141,590.87 = 59,580.98 : x
  2. Step 2: Convert to fraction form
    102,609.90/141,590.87 = 59,580.98/x
  3. Step 3: Cross multiply
    102,609.90x = 141,590.87 × 59,580.98
  4. Step 4: Simplify right side
    102,609.90x = 8,436,122,793.65
  5. Step 5: Solve for x
    x = 8,436,122,793.65/102,609.90
  6. Step 6: Final answer
    x = 82,215.49

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