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Finding the Fourth Proportional to 167,684.63, 231,328.46 and 99,662.95

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Solution

The fourth proportional to 167,684.63, 231,328.46 and 99,662.95 is: 137,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,684.63 : 231,328.46 = 99,662.95 : x
  2. Step 2: Convert to fraction form
    167,684.63/231,328.46 = 99,662.95/x
  3. Step 3: Cross multiply
    167,684.63x = 231,328.46 × 99,662.95
  4. Step 4: Simplify right side
    167,684.63x = 23,054,877,931.49
  5. Step 5: Solve for x
    x = 23,054,877,931.49/167,684.63
  6. Step 6: Final answer
    x = 137,489.51

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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.