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Finding the Fourth Proportional to 102,713.80, 154,113.90 and 56,000.20

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Solution

The fourth proportional to 102,713.80, 154,113.90 and 56,000.20 is: 84,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,713.80 : 154,113.90 = 56,000.20 : x
  2. Step 2: Convert to fraction form
    102,713.80/154,113.90 = 56,000.20/x
  3. Step 3: Cross multiply
    102,713.80x = 154,113.90 × 56,000.20
  4. Step 4: Simplify right side
    102,713.80x = 8,630,409,222.78
  5. Step 5: Solve for x
    x = 8,630,409,222.78/102,713.80
  6. Step 6: Final answer
    x = 84,023.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.