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Finding the Fourth Proportional to 304,127.30, 419,688.20 and 168,157.64

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Solution

The fourth proportional to 304,127.30, 419,688.20 and 168,157.64 is: 232,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,127.30 : 419,688.20 = 168,157.64 : x
  2. Step 2: Convert to fraction form
    304,127.30/419,688.20 = 168,157.64/x
  3. Step 3: Cross multiply
    304,127.30x = 419,688.20 × 168,157.64
  4. Step 4: Simplify right side
    304,127.30x = 70,573,776,407.06
  5. Step 5: Solve for x
    x = 70,573,776,407.06/304,127.30
  6. Step 6: Final answer
    x = 232,053.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.