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Finding the Fourth Proportional to 299,923.65, 413,895.47 and 163,959.21

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Solution

The fourth proportional to 299,923.65, 413,895.47 and 163,959.21 is: 226,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,923.65 : 413,895.47 = 163,959.21 : x
  2. Step 2: Convert to fraction form
    299,923.65/413,895.47 = 163,959.21/x
  3. Step 3: Cross multiply
    299,923.65x = 413,895.47 × 163,959.21
  4. Step 4: Simplify right side
    299,923.65x = 67,861,973,463.98
  5. Step 5: Solve for x
    x = 67,861,973,463.98/299,923.65
  6. Step 6: Final answer
    x = 226,264.16

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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.