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Finding the Fourth Proportional to 229,461.40, 344,192.10 and 159,477.40

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Solution

The fourth proportional to 229,461.40, 344,192.10 and 159,477.40 is: 239,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,461.40 : 344,192.10 = 159,477.40 : x
  2. Step 2: Convert to fraction form
    229,461.40/344,192.10 = 159,477.40/x
  3. Step 3: Cross multiply
    229,461.40x = 344,192.10 × 159,477.40
  4. Step 4: Simplify right side
    229,461.40x = 54,890,861,208.54
  5. Step 5: Solve for x
    x = 54,890,861,208.54/229,461.40
  6. Step 6: Final answer
    x = 239,216.10

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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.