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Finding the Fourth Proportional to 153,409.49, 230,104.10 and 73,504.61

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Solution

The fourth proportional to 153,409.49, 230,104.10 and 73,504.61 is: 110,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.49 : 230,104.10 = 73,504.61 : x
  2. Step 2: Convert to fraction form
    153,409.49/230,104.10 = 73,504.61/x
  3. Step 3: Cross multiply
    153,409.49x = 230,104.10 × 73,504.61
  4. Step 4: Simplify right side
    153,409.49x = 16,913,711,163.14
  5. Step 5: Solve for x
    x = 16,913,711,163.14/153,409.49
  6. Step 6: Final answer
    x = 110,252.06

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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.