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Finding the Fourth Proportional to 105,411.86, 158,133.43 and 30,522.66

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Solution

The fourth proportional to 105,411.86, 158,133.43 and 30,522.66 is: 45,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,411.86 : 158,133.43 = 30,522.66 : x
  2. Step 2: Convert to fraction form
    105,411.86/158,133.43 = 30,522.66/x
  3. Step 3: Cross multiply
    105,411.86x = 158,133.43 × 30,522.66
  4. Step 4: Simplify right side
    105,411.86x = 4,826,652,902.03
  5. Step 5: Solve for x
    x = 4,826,652,902.03/105,411.86
  6. Step 6: Final answer
    x = 45,788.52

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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.