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Finding the Fourth Proportional to 230,490.50, 345,871.83 and 97,362.14

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Solution

The fourth proportional to 230,490.50, 345,871.83 and 97,362.14 is: 146,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,490.50 : 345,871.83 = 97,362.14 : x
  2. Step 2: Convert to fraction form
    230,490.50/345,871.83 = 97,362.14/x
  3. Step 3: Cross multiply
    230,490.50x = 345,871.83 × 97,362.14
  4. Step 4: Simplify right side
    230,490.50x = 33,674,821,534.52
  5. Step 5: Solve for x
    x = 33,674,821,534.52/230,490.50
  6. Step 6: Final answer
    x = 146,100.69

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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.