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Finding the Fourth Proportional to 164,510.54, 246,728.94 and 75,678.74

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Solution

The fourth proportional to 164,510.54, 246,728.94 and 75,678.74 is: 113,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,510.54 : 246,728.94 = 75,678.74 : x
  2. Step 2: Convert to fraction form
    164,510.54/246,728.94 = 75,678.74/x
  3. Step 3: Cross multiply
    164,510.54x = 246,728.94 × 75,678.74
  4. Step 4: Simplify right side
    164,510.54x = 18,672,135,300.74
  5. Step 5: Solve for x
    x = 18,672,135,300.74/164,510.54
  6. Step 6: Final answer
    x = 113,501.15

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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.