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Finding the Fourth Proportional to 109,496.40, 163,937.40 and 106,424.40

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Solution

The fourth proportional to 109,496.40, 163,937.40 and 106,424.40 is: 159,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,496.40 : 163,937.40 = 106,424.40 : x
  2. Step 2: Convert to fraction form
    109,496.40/163,937.40 = 106,424.40/x
  3. Step 3: Cross multiply
    109,496.40x = 163,937.40 × 106,424.40
  4. Step 4: Simplify right side
    109,496.40x = 17,446,939,432.56
  5. Step 5: Solve for x
    x = 17,446,939,432.56/109,496.40
  6. Step 6: Final answer
    x = 159,338.02

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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.