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Finding the Fourth Proportional to 106,402.96, 159,603.48 and 40,738.96

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Solution

The fourth proportional to 106,402.96, 159,603.48 and 40,738.96 is: 61,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,402.96 : 159,603.48 = 40,738.96 : x
  2. Step 2: Convert to fraction form
    106,402.96/159,603.48 = 40,738.96/x
  3. Step 3: Cross multiply
    106,402.96x = 159,603.48 × 40,738.96
  4. Step 4: Simplify right side
    106,402.96x = 6,502,079,787.58
  5. Step 5: Solve for x
    x = 6,502,079,787.58/106,402.96
  6. Step 6: Final answer
    x = 61,108.07

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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.