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Finding the Fourth Proportional to 207,031.84, 285,704.42 and 116,388.55

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Solution

The fourth proportional to 207,031.84, 285,704.42 and 116,388.55 is: 160,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,031.84 : 285,704.42 = 116,388.55 : x
  2. Step 2: Convert to fraction form
    207,031.84/285,704.42 = 116,388.55/x
  3. Step 3: Cross multiply
    207,031.84x = 285,704.42 × 116,388.55
  4. Step 4: Simplify right side
    207,031.84x = 33,252,723,304.71
  5. Step 5: Solve for x
    x = 33,252,723,304.71/207,031.84
  6. Step 6: Final answer
    x = 160,616.47

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Why These Related Problems?

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