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Finding the Fourth Proportional to 154,697.50, 232,085.13 and 43,889.50

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Solution

The fourth proportional to 154,697.50, 232,085.13 and 43,889.50 is: 65,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,697.50 : 232,085.13 = 43,889.50 : x
  2. Step 2: Convert to fraction form
    154,697.50/232,085.13 = 43,889.50/x
  3. Step 3: Cross multiply
    154,697.50x = 232,085.13 × 43,889.50
  4. Step 4: Simplify right side
    154,697.50x = 10,186,100,313.14
  5. Step 5: Solve for x
    x = 10,186,100,313.14/154,697.50
  6. Step 6: Final answer
    x = 65,845.28

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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.