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Finding the Fourth Proportional to 102,711, 154,079.46 and 35,256.18

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Solution

The fourth proportional to 102,711, 154,079.46 and 35,256.18 is: 52,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,711 : 154,079.46 = 35,256.18 : x
  2. Step 2: Convert to fraction form
    102,711/154,079.46 = 35,256.18/x
  3. Step 3: Cross multiply
    102,711x = 154,079.46 × 35,256.18
  4. Step 4: Simplify right side
    102,711x = 5,432,253,176.06
  5. Step 5: Solve for x
    x = 5,432,253,176.06/102,711
  6. Step 6: Final answer
    x = 52,888.72

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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.