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Finding the Fourth Proportional to 154,740, 232,123.50 and 43,932

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Solution

The fourth proportional to 154,740, 232,123.50 and 43,932 is: 65,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,740 : 232,123.50 = 43,932 : x
  2. Step 2: Convert to fraction form
    154,740/232,123.50 = 43,932/x
  3. Step 3: Cross multiply
    154,740x = 232,123.50 × 43,932
  4. Step 4: Simplify right side
    154,740x = 10,197,649,602
  5. Step 5: Solve for x
    x = 10,197,649,602/154,740
  6. Step 6: Final answer
    x = 65,901.83

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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.