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Finding the Fourth Proportional to 413,121.16, 619,607.18 and 109,517.32

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Solution

The fourth proportional to 413,121.16, 619,607.18 and 109,517.32 is: 164,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,121.16 : 619,607.18 = 109,517.32 : x
  2. Step 2: Convert to fraction form
    413,121.16/619,607.18 = 109,517.32/x
  3. Step 3: Cross multiply
    413,121.16x = 619,607.18 × 109,517.32
  4. Step 4: Simplify right side
    413,121.16x = 67,857,717,806.36
  5. Step 5: Solve for x
    x = 67,857,717,806.36/413,121.16
  6. Step 6: Final answer
    x = 164,256.21

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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.