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Finding the Fourth Proportional to 231,315.18, 346,973.13 and 65,103.18

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Solution

The fourth proportional to 231,315.18, 346,973.13 and 65,103.18 is: 97,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,315.18 : 346,973.13 = 65,103.18 : x
  2. Step 2: Convert to fraction form
    231,315.18/346,973.13 = 65,103.18/x
  3. Step 3: Cross multiply
    231,315.18x = 346,973.13 × 65,103.18
  4. Step 4: Simplify right side
    231,315.18x = 22,589,054,137.55
  5. Step 5: Solve for x
    x = 22,589,054,137.55/231,315.18
  6. Step 6: Final answer
    x = 97,654.87

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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.