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Finding the Fourth Proportional to 164,039.40, 246,059.10 and 81,095.40

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Solution

The fourth proportional to 164,039.40, 246,059.10 and 81,095.40 is: 121,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,039.40 : 246,059.10 = 81,095.40 : x
  2. Step 2: Convert to fraction form
    164,039.40/246,059.10 = 81,095.40/x
  3. Step 3: Cross multiply
    164,039.40x = 246,059.10 × 81,095.40
  4. Step 4: Simplify right side
    164,039.40x = 19,954,261,138.14
  5. Step 5: Solve for x
    x = 19,954,261,138.14/164,039.40
  6. Step 6: Final answer
    x = 121,643.10

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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.