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Finding the Fourth Proportional to 102,213.85, 141,038.26 and 56,890.65

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Solution

The fourth proportional to 102,213.85, 141,038.26 and 56,890.65 is: 78,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213.85 : 141,038.26 = 56,890.65 : x
  2. Step 2: Convert to fraction form
    102,213.85/141,038.26 = 56,890.65/x
  3. Step 3: Cross multiply
    102,213.85x = 141,038.26 × 56,890.65
  4. Step 4: Simplify right side
    102,213.85x = 8,023,758,992.95
  5. Step 5: Solve for x
    x = 8,023,758,992.95/102,213.85
  6. Step 6: Final answer
    x = 78,499.72

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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.