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Finding the Fourth Proportional to 106,237.95, 159,578.35 and 89,630.42

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Solution

The fourth proportional to 106,237.95, 159,578.35 and 89,630.42 is: 134,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,237.95 : 159,578.35 = 89,630.42 : x
  2. Step 2: Convert to fraction form
    106,237.95/159,578.35 = 89,630.42/x
  3. Step 3: Cross multiply
    106,237.95x = 159,578.35 × 89,630.42
  4. Step 4: Simplify right side
    106,237.95x = 14,303,074,015.61
  5. Step 5: Solve for x
    x = 14,303,074,015.61/106,237.95
  6. Step 6: Final answer
    x = 134,632.44

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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.