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Finding the Fourth Proportional to 109,465.70, 164,186.40 and 89,709.80

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Solution

The fourth proportional to 109,465.70, 164,186.40 and 89,709.80 is: 134,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,465.70 : 164,186.40 = 89,709.80 : x
  2. Step 2: Convert to fraction form
    109,465.70/164,186.40 = 89,709.80/x
  3. Step 3: Cross multiply
    109,465.70x = 164,186.40 × 89,709.80
  4. Step 4: Simplify right side
    109,465.70x = 14,729,129,106.72
  5. Step 5: Solve for x
    x = 14,729,129,106.72/109,465.70
  6. Step 6: Final answer
    x = 134,554.74

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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.