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Finding the Fourth Proportional to 229,190.50, 343,923.99 and 97,862.50

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Solution

The fourth proportional to 229,190.50, 343,923.99 and 97,862.50 is: 146,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,190.50 : 343,923.99 = 97,862.50 : x
  2. Step 2: Convert to fraction form
    229,190.50/343,923.99 = 97,862.50/x
  3. Step 3: Cross multiply
    229,190.50x = 343,923.99 × 97,862.50
  4. Step 4: Simplify right side
    229,190.50x = 33,657,261,471.38
  5. Step 5: Solve for x
    x = 33,657,261,471.38/229,190.50
  6. Step 6: Final answer
    x = 146,852.78

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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.