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Finding the Fourth Proportional to 232,859.82, 349,425.27 and 97,914.14

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Solution

The fourth proportional to 232,859.82, 349,425.27 and 97,914.14 is: 146,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,859.82 : 349,425.27 = 97,914.14 : x
  2. Step 2: Convert to fraction form
    232,859.82/349,425.27 = 97,914.14/x
  3. Step 3: Cross multiply
    232,859.82x = 349,425.27 × 97,914.14
  4. Step 4: Simplify right side
    232,859.82x = 34,213,673,059.19
  5. Step 5: Solve for x
    x = 34,213,673,059.19/232,859.82
  6. Step 6: Final answer
    x = 146,928.20

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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.