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Finding the Fourth Proportional to 154,471.87, 231,561.71 and 116,462.17

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Solution

The fourth proportional to 154,471.87, 231,561.71 and 116,462.17 is: 174,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,471.87 : 231,561.71 = 116,462.17 : x
  2. Step 2: Convert to fraction form
    154,471.87/231,561.71 = 116,462.17/x
  3. Step 3: Cross multiply
    154,471.87x = 231,561.71 × 116,462.17
  4. Step 4: Simplify right side
    154,471.87x = 26,968,179,235.51
  5. Step 5: Solve for x
    x = 26,968,179,235.51/154,471.87
  6. Step 6: Final answer
    x = 174,583.11

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Why These Related Problems?

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