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Finding the Fourth Proportional to 230,649.30, 346,020.65 and 97,529.34

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Solution

The fourth proportional to 230,649.30, 346,020.65 and 97,529.34 is: 146,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,649.30 : 346,020.65 = 97,529.34 : x
  2. Step 2: Convert to fraction form
    230,649.30/346,020.65 = 97,529.34/x
  3. Step 3: Cross multiply
    230,649.30x = 346,020.65 × 97,529.34
  4. Step 4: Simplify right side
    230,649.30x = 33,747,165,133.22
  5. Step 5: Solve for x
    x = 33,747,165,133.22/230,649.30
  6. Step 6: Final answer
    x = 146,313.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.