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Finding the Fourth Proportional to 106,001.40, 159,002.10 and 76,625.40

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Solution

The fourth proportional to 106,001.40, 159,002.10 and 76,625.40 is: 114,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,001.40 : 159,002.10 = 76,625.40 : x
  2. Step 2: Convert to fraction form
    106,001.40/159,002.10 = 76,625.40/x
  3. Step 3: Cross multiply
    106,001.40x = 159,002.10 × 76,625.40
  4. Step 4: Simplify right side
    106,001.40x = 12,183,599,513.34
  5. Step 5: Solve for x
    x = 12,183,599,513.34/106,001.40
  6. Step 6: Final answer
    x = 114,938.10

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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.