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Finding the Fourth Proportional to 159,121.64, 238,664.64 and 40,795.76

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Solution

The fourth proportional to 159,121.64, 238,664.64 and 40,795.76 is: 61,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,121.64 : 238,664.64 = 40,795.76 : x
  2. Step 2: Convert to fraction form
    159,121.64/238,664.64 = 40,795.76/x
  3. Step 3: Cross multiply
    159,121.64x = 238,664.64 × 40,795.76
  4. Step 4: Simplify right side
    159,121.64x = 9,736,505,373.93
  5. Step 5: Solve for x
    x = 9,736,505,373.93/159,121.64
  6. Step 6: Final answer
    x = 61,189.07

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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.