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Finding the Fourth Proportional to 230,530.97, 345,713.25 and 97,421.51

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Solution

The fourth proportional to 230,530.97, 345,713.25 and 97,421.51 is: 146,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,530.97 : 345,713.25 = 97,421.51 : x
  2. Step 2: Convert to fraction form
    230,530.97/345,713.25 = 97,421.51/x
  3. Step 3: Cross multiply
    230,530.97x = 345,713.25 × 97,421.51
  4. Step 4: Simplify right side
    230,530.97x = 33,679,906,842.01
  5. Step 5: Solve for x
    x = 33,679,906,842.01/230,530.97
  6. Step 6: Final answer
    x = 146,097.10

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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.