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Finding the Fourth Proportional to 154,812, 232,023.72 and 83,731.80

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Solution

The fourth proportional to 154,812, 232,023.72 and 83,731.80 is: 125,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,812 : 232,023.72 = 83,731.80 : x
  2. Step 2: Convert to fraction form
    154,812/232,023.72 = 83,731.80/x
  3. Step 3: Cross multiply
    154,812x = 232,023.72 × 83,731.80
  4. Step 4: Simplify right side
    154,812x = 19,427,763,718.30
  5. Step 5: Solve for x
    x = 19,427,763,718.30/154,812
  6. Step 6: Final answer
    x = 125,492.62

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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.