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Finding the Fourth Proportional to 167,506.98, 231,066.06 and 102,931.35

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Solution

The fourth proportional to 167,506.98, 231,066.06 and 102,931.35 is: 141,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,506.98 : 231,066.06 = 102,931.35 : x
  2. Step 2: Convert to fraction form
    167,506.98/231,066.06 = 102,931.35/x
  3. Step 3: Cross multiply
    167,506.98x = 231,066.06 × 102,931.35
  4. Step 4: Simplify right side
    167,506.98x = 23,783,941,494.98
  5. Step 5: Solve for x
    x = 23,783,941,494.98/167,506.98
  6. Step 6: Final answer
    x = 141,987.76

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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.