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Finding the Fourth Proportional to 102,431.55, 141,305.30 and 68,448.38

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Solution

The fourth proportional to 102,431.55, 141,305.30 and 68,448.38 is: 94,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,431.55 : 141,305.30 = 68,448.38 : x
  2. Step 2: Convert to fraction form
    102,431.55/141,305.30 = 68,448.38/x
  3. Step 3: Cross multiply
    102,431.55x = 141,305.30 × 68,448.38
  4. Step 4: Simplify right side
    102,431.55x = 9,672,118,881.44
  5. Step 5: Solve for x
    x = 9,672,118,881.44/102,431.55
  6. Step 6: Final answer
    x = 94,425.19

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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.