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Finding the Fourth Proportional to 230,643.56, 345,989.96 and 97,537.28

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Solution

The fourth proportional to 230,643.56, 345,989.96 and 97,537.28 is: 146,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,643.56 : 345,989.96 = 97,537.28 : x
  2. Step 2: Convert to fraction form
    230,643.56/345,989.96 = 97,537.28/x
  3. Step 3: Cross multiply
    230,643.56x = 345,989.96 × 97,537.28
  4. Step 4: Simplify right side
    230,643.56x = 33,746,917,388.07
  5. Step 5: Solve for x
    x = 33,746,917,388.07/230,643.56
  6. Step 6: Final answer
    x = 146,316.33

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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.