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Finding the Fourth Proportional to 167,903.16, 231,706.14 and 92,451

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Solution

The fourth proportional to 167,903.16, 231,706.14 and 92,451 is: 127,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,903.16 : 231,706.14 = 92,451 : x
  2. Step 2: Convert to fraction form
    167,903.16/231,706.14 = 92,451/x
  3. Step 3: Cross multiply
    167,903.16x = 231,706.14 × 92,451
  4. Step 4: Simplify right side
    167,903.16x = 21,421,464,349.14
  5. Step 5: Solve for x
    x = 21,421,464,349.14/167,903.16
  6. Step 6: Final answer
    x = 127,582.26

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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.