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Finding the Fourth Proportional to 154,141, 231,211.56 and 43,333

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Solution

The fourth proportional to 154,141, 231,211.56 and 43,333 is: 64,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,141 : 231,211.56 = 43,333 : x
  2. Step 2: Convert to fraction form
    154,141/231,211.56 = 43,333/x
  3. Step 3: Cross multiply
    154,141x = 231,211.56 × 43,333
  4. Step 4: Simplify right side
    154,141x = 10,019,090,529.48
  5. Step 5: Solve for x
    x = 10,019,090,529.48/154,141
  6. Step 6: Final answer
    x = 64,999.52

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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.