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Finding the Fourth Proportional to 209,812.98, 314,797.23 and 97,553.46

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Solution

The fourth proportional to 209,812.98, 314,797.23 and 97,553.46 is: 146,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,812.98 : 314,797.23 = 97,553.46 : x
  2. Step 2: Convert to fraction form
    209,812.98/314,797.23 = 97,553.46/x
  3. Step 3: Cross multiply
    209,812.98x = 314,797.23 × 97,553.46
  4. Step 4: Simplify right side
    209,812.98x = 30,709,558,984.92
  5. Step 5: Solve for x
    x = 30,709,558,984.92/209,812.98
  6. Step 6: Final answer
    x = 146,366.34

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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.