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Finding the Fourth Proportional to 102,912.90, 154,369.35 and 56,256.90

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Solution

The fourth proportional to 102,912.90, 154,369.35 and 56,256.90 is: 84,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.90 : 154,369.35 = 56,256.90 : x
  2. Step 2: Convert to fraction form
    102,912.90/154,369.35 = 56,256.90/x
  3. Step 3: Cross multiply
    102,912.90x = 154,369.35 × 56,256.90
  4. Step 4: Simplify right side
    102,912.90x = 8,684,341,086.02
  5. Step 5: Solve for x
    x = 8,684,341,086.02/102,912.90
  6. Step 6: Final answer
    x = 84,385.35

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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.