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Finding the Fourth Proportional to 103,162.98, 142,291.17 and 94,692

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Solution

The fourth proportional to 103,162.98, 142,291.17 and 94,692 is: 130,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,162.98 : 142,291.17 = 94,692 : x
  2. Step 2: Convert to fraction form
    103,162.98/142,291.17 = 94,692/x
  3. Step 3: Cross multiply
    103,162.98x = 142,291.17 × 94,692
  4. Step 4: Simplify right side
    103,162.98x = 13,473,835,469.64
  5. Step 5: Solve for x
    x = 13,473,835,469.64/103,162.98
  6. Step 6: Final answer
    x = 130,607.27

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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.