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Finding the Fourth Proportional to 230,641.41, 345,976.68 and 97,504.14

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Solution

The fourth proportional to 230,641.41, 345,976.68 and 97,504.14 is: 146,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,641.41 : 345,976.68 = 97,504.14 : x
  2. Step 2: Convert to fraction form
    230,641.41/345,976.68 = 97,504.14/x
  3. Step 3: Cross multiply
    230,641.41x = 345,976.68 × 97,504.14
  4. Step 4: Simplify right side
    230,641.41x = 33,734,158,643.46
  5. Step 5: Solve for x
    x = 33,734,158,643.46/230,641.41
  6. Step 6: Final answer
    x = 146,262.37

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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.